403855441920 has 544 divisors, whose sum is σ = 1641302519040. Its totient is φ = 92295659520.

The previous prime is 403855441907. The next prime is 403855441943. The reversal of 403855441920 is 29144558304.

403855441920 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 554 + 4 + 1 + 92 + 0 = 666.

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

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, 61928260 + ... + 61934780.

Almost surely, 2^403855441920 is an apocalyptic number.

403855441920 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 403855441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820651259520).

403855441920 is an abundant number, since it is smaller than the sum of its proper divisors (1237447077120).

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

403855441920 is an frugal number, since it uses more digits than its factorization.

403855441920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6574 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 403855441920 in words is "four hundred three billion, eight hundred fifty-five million, four hundred forty-one thousand, nine hundred twenty".