407897763840 has 936 divisors, whose sum is σ = 1732001366160. Its totient is φ = 88289574912.

The previous prime is 407897763773. The next prime is 407897763851. The reversal of 407897763840 is 48367798704.

407897763840 is a `hidden beast` number, since 407 + 8 + 97 + 7 + 63 + 84 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171600732 + ... + 171603108.

It is an arithmetic number, because the mean of its divisors is an integer number (1850428810).

Almost surely, 2^407897763840 is an apocalyptic number.

407897763840 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 407897763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866000683080).

407897763840 is an abundant number, since it is smaller than the sum of its proper divisors (1324103602320).

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

407897763840 is a wasteful number, since it uses less digits than its factorization.

407897763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 407897763840 in words is "four hundred seven billion, eight hundred ninety-seven million, seven hundred sixty-three thousand, eight hundred forty".