407802575040 has 448 divisors, whose sum is σ = 1552379074560. Its totient is φ = 88727224320.

The previous prime is 407802575027. The next prime is 407802575041. The reversal of 407802575040 is 40575208704.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 407802574983 and 407802575001.

It is not an unprimeable number, because it can be changed into a prime (407802575041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13821744 + ... + 13851216.

Almost surely, 2^407802575040 is an apocalyptic number.

407802575040 is a gapful number since it is divisible by the number (40) 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 407802575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776189537280).

407802575040 is an abundant number, since it is smaller than the sum of its proper divisors (1144576499520).

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

407802575040 is a wasteful number, since it uses less digits than its factorization.

407802575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29600 (or 29590 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The spelling of 407802575040 in words is "four hundred seven billion, eight hundred two million, five hundred seventy-five thousand, forty".