407552801640 has 32 divisors (see below), whose sum is σ = 1222658405280. Its totient is φ = 108680747072.

The previous prime is 407552801627. The next prime is 407552801641. The reversal of 407552801640 is 46108255704.

It is a happy number.

It is a super-2 number, since 2×407552801640² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 407552801592 and 407552801601.

It is not an unprimeable number, because it can be changed into a prime (407552801641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1698136554 + ... + 1698136793.

It is an arithmetic number, because the mean of its divisors is an integer number (38208075165).

Almost surely, 2^407552801640 is an apocalyptic number.

407552801640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407552801640 is an abundant number, since it is smaller than the sum of its proper divisors (815105603640).

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

407552801640 is a wasteful number, since it uses less digits than its factorization.

407552801640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396273361 (or 3396273357 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 407552801640 in words is "four hundred seven billion, five hundred fifty-two million, eight hundred one thousand, six hundred forty".