403815091680 has 1728 divisors, whose sum is σ = 1945502447616. Its totient is φ = 74898432000.

The previous prime is 403815091651. The next prime is 403815091709. The reversal of 403815091680 is 86190518304.

403815091680 is a `hidden beast` number, since 4 + 0 + 3 + 81 + 509 + 1 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (403815091651) and next prime (403815091709).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 312791835 + ... + 312793125.

It is an arithmetic number, because the mean of its divisors is an integer number (1125869472).

Almost surely, 2^403815091680 is an apocalyptic number.

403815091680 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 403815091680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972751223808).

403815091680 is an abundant number, since it is smaller than the sum of its proper divisors (1541687355936).

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

403815091680 is a wasteful number, since it uses less digits than its factorization.

403815091680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 403815091680 in words is "four hundred three billion, eight hundred fifteen million, ninety-one thousand, six hundred eighty".