10422479831040 has 480 divisors, whose sum is σ = 37121854882560. Its totient is φ = 2774433005568.

The previous prime is 10422479830999. The next prime is 10422479831063. The reversal of 10422479831040 is 4013897422401.

10422479831040 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 247 + 98 + 310 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 31 ways as a sum of consecutive naturals, for example, 1355854077 + ... + 1355861763.

It is an arithmetic number, because the mean of its divisors is an integer number (77337197672).

Almost surely, 2^{10422479831040} is an apocalyptic number.

10422479831040 is a gapful number since it is divisible by the number (10) 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 10422479831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18560927441280).

10422479831040 is an abundant number, since it is smaller than the sum of its proper divisors (26699375051520).

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

10422479831040 is an frugal number, since it uses more digits than its factorization.

10422479831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8342 (or 8310 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10422479831040 in words is "ten trillion, four hundred twenty-two billion, four hundred seventy-nine million, eight hundred thirty-one thousand, forty".