427006437200 has 240 divisors, whose sum is σ = 1218310594560. Its totient is φ = 140736960000.

The previous prime is 427006437161. The next prime is 427006437211. The reversal of 427006437200 is 2734600724.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13090511 + ... + 13123089.

It is an arithmetic number, because the mean of its divisors is an integer number (5076294144).

Almost surely, 2^427006437200 is an apocalyptic number.

427006437200 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 427006437200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609155297280).

427006437200 is an abundant number, since it is smaller than the sum of its proper divisors (791304157360).

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

427006437200 is a wasteful number, since it uses less digits than its factorization.

427006437200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32786 (or 32775 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 35.

The spelling of 427006437200 in words is "four hundred twenty-seven billion, six million, four hundred thirty-seven thousand, two hundred".