1010152976400 has 300 divisors, whose sum is σ = 3651455962000. Its totient is φ = 267434991360.

The previous prime is 1010152976381. The next prime is 1010152976429. The reversal of 1010152976400 is 46792510101.

1010152976400 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 5 + 2 + 9 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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 59 ways as a sum of consecutive naturals, for example, 4391451 + ... + 4615749.

Almost surely, 2^{1010152976400} is an apocalyptic number.

1010152976400 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 1010152976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825727981000).

1010152976400 is an abundant number, since it is smaller than the sum of its proper divisors (2641302985600).

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

1010152976400 is a wasteful number, since it uses less digits than its factorization.

1010152976400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224468 (or 224448 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 1010152976400 in words is "one trillion, ten billion, one hundred fifty-two million, nine hundred seventy-six thousand, four hundred".