40726454400 has 384 divisors, whose sum is σ = 156898440000. Its totient is φ = 10288373760.

The previous prime is 40726454389. The next prime is 40726454401. The reversal of 40726454400 is 445462704.

40726454400 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 645 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40726454401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1629196 + ... + 1654004.

Almost surely, 2^40726454400 is an apocalyptic number.

40726454400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40726454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78449220000).

40726454400 is an abundant number, since it is smaller than the sum of its proper divisors (116171985600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40726454400 is a wasteful number, since it uses less digits than its factorization.

40726454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24861 (or 24838 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 40726454400 in words is "forty billion, seven hundred twenty-six million, four hundred fifty-four thousand, four hundred".