407334674040 has 128 divisors (see below), whose sum is σ = 1396751247360. Its totient is φ = 93093387264.

The previous prime is 407334674023. The next prime is 407334674041. The reversal of 407334674040 is 40476433704.

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 = 407334673983 and 407334674001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407334674041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7898017 + ... + 7949423.

It is an arithmetic number, because the mean of its divisors is an integer number (10912119120).

Almost surely, 2^407334674040 is an apocalyptic number.

407334674040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407334674040 is an abundant number, since it is smaller than the sum of its proper divisors (989416573320).

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

407334674040 is a wasteful number, since it uses less digits than its factorization.

407334674040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60861 (or 60857 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 42.

The spelling of 407334674040 in words is "four hundred seven billion, three hundred thirty-four million, six hundred seventy-four thousand, forty".