407000040800 has 36 divisors (see below), whose sum is σ = 993588851556. Its totient is φ = 162800016000.

The previous prime is 407000040787. The next prime is 407000040833. The reversal of 407000040800 is 8040000704.

It is a super-2 number, since 2×407000040800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 254374226 + ... + 254375825.

It is an arithmetic number, because the mean of its divisors is an integer number (27599690321).

Almost surely, 2^407000040800 is an apocalyptic number.

407000040800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407000040800 is an abundant number, since it is smaller than the sum of its proper divisors (586588810756).

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

407000040800 is a wasteful number, since it uses less digits than its factorization.

407000040800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508750071 (or 508750058 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The spelling of 407000040800 in words is "four hundred seven billion, forty thousand, eight hundred".