40255549200090 has 480 divisors, whose sum is σ = 130932500680080. Its totient is φ = 8837903499264.

The previous prime is 40255549200077. The next prime is 40255549200131. The reversal of 40255549200090 is 9000294555204.

40255549200090 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 554 + 9 + 2 + 0 + 0 + 0 + 90 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2595639987801 + 37659909212289 = 1611099^2 + 6136767^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 222054324 + ... + 222235536.

Almost surely, 2^{40255549200090} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40255549200090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65466250340040).

40255549200090 is an abundant number, since it is smaller than the sum of its proper divisors (90676951479990).

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

40255549200090 is a wasteful number, since it uses less digits than its factorization.

40255549200090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181468 (or 181452 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 40255549200090 in words is "forty trillion, two hundred fifty-five billion, five hundred forty-nine million, two hundred thousand, ninety".