403321354001040 has 320 divisors, whose sum is σ = 1282181633694720. Its totient is φ = 104841437276160.

The previous prime is 403321354001039. The next prime is 403321354001051. The reversal of 403321354001040 is 40100453123304.

It is a super-2 number, since 2×403321354001040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 403321354000989 and 403321354001007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2424349542 + ... + 2424515898.

It is an arithmetic number, because the mean of its divisors is an integer number (4006817605296).

Almost surely, 2^{403321354001040} is an apocalyptic number.

403321354001040 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 403321354001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641090816847360).

403321354001040 is an abundant number, since it is smaller than the sum of its proper divisors (878860279693680).

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

403321354001040 is a wasteful number, since it uses less digits than its factorization.

403321354001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167870 (or 167864 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 403321354001040 in words is "four hundred three trillion, three hundred twenty-one billion, three hundred fifty-four million, one thousand, forty".