427292663040 has 216 divisors, whose sum is σ = 1529368200360. Its totient is φ = 110015496192.

The previous prime is 427292662999. The next prime is 427292663041. The reversal of 427292663040 is 40366292724.

427292663040 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 9 + 2 + 6 + 630 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 580617216 + 426712045824 = 24096^2 + 653232^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427292663041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305427 + ... + 973586.

It is an arithmetic number, because the mean of its divisors is an integer number (7080408335).

Almost surely, 2^427292663040 is an apocalyptic number.

427292663040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427292663040 is an abundant number, since it is smaller than the sum of its proper divisors (1102075537320).

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

427292663040 is a wasteful number, since it uses less digits than its factorization.

427292663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279069 (or 1279052 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 427292663040 in words is "four hundred twenty-seven billion, two hundred ninety-two million, six hundred sixty-three thousand, forty".