407499079680 has 1536 divisors, whose sum is σ = 1827463921920. Its totient is φ = 81537269760.

The previous prime is 407499079679. The next prime is 407499079769. The reversal of 407499079680 is 86970994704.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4201021392 + ... + 4201021488.

Almost surely, 2^407499079680 is an apocalyptic number.

407499079680 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 407499079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913731960960).

407499079680 is an abundant number, since it is smaller than the sum of its proper divisors (1419964842240).

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

407499079680 is a wasteful number, since it uses less digits than its factorization.

407499079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 407499079680 in words is "four hundred seven billion, four hundred ninety-nine million, seventy-nine thousand, six hundred eighty".