1011402475272 has 224 divisors, whose sum is σ = 3390733630080. Its totient is φ = 276407873280.

The previous prime is 1011402475261. The next prime is 1011402475283. The reversal of 1011402475272 is 2725742041101.

1011402475272 is a `hidden beast` number, since 1 + 0 + 1 + 140 + 247 + 5 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (1011402475261) and next prime (1011402475283).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 400372 + ... + 1477532.

Almost surely, 2^{1011402475272} is an apocalyptic number.

1011402475272 is a gapful number since it is divisible by the number (12) 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 1011402475272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695366815040).

1011402475272 is an abundant number, since it is smaller than the sum of its proper divisors (2379331154808).

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

1011402475272 is a wasteful number, since it uses less digits than its factorization.

1011402475272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077215 (or 1077196 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 1011402475272 in words is "one trillion, eleven billion, four hundred two million, four hundred seventy-five thousand, two hundred seventy-two".