1002115310400 has 252 divisors, whose sum is σ = 3562652701452. Its totient is φ = 267163361280.

The previous prime is 1002115310389. The next prime is 1002115310419. The reversal of 1002115310400 is 40135112001.

1002115310400 is a `hidden beast` number, since 1 + 0 + 0 + 211 + 53 + 1 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 116242811136 + 885872499264 = 340944^2 + 941208^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 87157452 + ... + 87168948.

Almost surely, 2^{1002115310400} is an apocalyptic number.

1002115310400 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 1002115310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781326350726).

1002115310400 is an abundant number, since it is smaller than the sum of its proper divisors (2560537391052).

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

1002115310400 is a wasteful number, since it uses less digits than its factorization.

1002115310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17578 (or 17560 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 1002115310400 in words is "one trillion, two billion, one hundred fifteen million, three hundred ten thousand, four hundred".