407880088704 has 192 divisors, whose sum is σ = 1323200508000. Its totient is φ = 123599900160.

The previous prime is 407880088601. The next prime is 407880088753.

It is a happy number.

407880088704 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×407880088704² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69514 + ... + 905865.

Almost surely, 2^407880088704 is an apocalyptic number.

407880088704 is a gapful number since it is divisible by the number (44) 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 407880088704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661600254000).

407880088704 is an abundant number, since it is smaller than the sum of its proper divisors (915320419296).

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

407880088704 is a wasteful number, since it uses less digits than its factorization.

407880088704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975424 (or 975395 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 407880088704 in words is "four hundred seven billion, eight hundred eighty million, eighty-eight thousand, seven hundred four".