474810022126440 has 1152 divisors, whose sum is σ = 2126326725169920. Its totient is φ = 91072393251840.

The previous prime is 474810022126409. The next prime is 474810022126543. The reversal of 474810022126440 is 44621220018474.

474810022126440 is a `hidden beast` number, since 4 + 7 + 4 + 81 + 0 + 0 + 2 + 2 + 126 + 440 = 666.

It is a super-2 number, since 2×474810022126440² (a number of 30 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 304447117 + ... + 306002723.

It is an arithmetic number, because the mean of its divisors is an integer number (1845769726710).

Almost surely, 2^{474810022126440} is an apocalyptic number.

474810022126440 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 474810022126440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063163362584960).

474810022126440 is an abundant number, since it is smaller than the sum of its proper divisors (1651516703043480).

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

474810022126440 is a wasteful number, since it uses less digits than its factorization.

474810022126440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555684 (or 1555648 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 474810022126440 in words is "four hundred seventy-four trillion, eight hundred ten billion, twenty-two million, one hundred twenty-six thousand, four hundred forty".