407157668140 has 96 divisors (see below), whose sum is σ = 889410170880. Its totient is φ = 156459072000.

The previous prime is 407157668087. The next prime is 407157668147. The reversal of 407157668140 is 41866751704.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (407157668147) 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, 14605215 + ... + 14633065.

It is an arithmetic number, because the mean of its divisors is an integer number (9264689280).

Almost surely, 2^407157668140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407157668140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444705085440).

407157668140 is an abundant number, since it is smaller than the sum of its proper divisors (482252502740).

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

407157668140 is a wasteful number, since it uses less digits than its factorization.

407157668140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28183 (or 28181 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The spelling of 407157668140 in words is "four hundred seven billion, one hundred fifty-seven million, six hundred sixty-eight thousand, one hundred forty".