40242646462400 has 84 divisors (see below), whose sum is σ = 100700402220840. Its totient is φ = 15824227046400.

The previous prime is 40242646462303. The next prime is 40242646462433. The reversal of 40242646462400 is 426464624204.

It is a super-2 number, since 2×40242646462400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213055211 + ... + 213244010.

Almost surely, 2^{40242646462400} is an apocalyptic number.

40242646462400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40242646462400 is an abundant number, since it is smaller than the sum of its proper divisors (60457755758440).

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

40242646462400 is a wasteful number, since it uses less digits than its factorization.

40242646462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426299302 (or 426299287 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 44.

The spelling of 40242646462400 in words is "forty trillion, two hundred forty-two billion, six hundred forty-six million, four hundred sixty-two thousand, four hundred".