407147401416 has 128 divisors (see below), whose sum is σ = 1167880550400. Its totient is φ = 115868375040.

The previous prime is 407147401361. The next prime is 407147401421. The reversal of 407147401416 is 614104741704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61139095 + ... + 61145753.

It is an arithmetic number, because the mean of its divisors is an integer number (9124066800).

Almost surely, 2^407147401416 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 407147401416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583940275200).

407147401416 is an abundant number, since it is smaller than the sum of its proper divisors (760733148984).

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

407147401416 is a wasteful number, since it uses less digits than its factorization.

407147401416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8059 (or 8055 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 407147401416 in words is "four hundred seven billion, one hundred forty-seven million, four hundred one thousand, four hundred sixteen".