101451974400 has 1944 divisors, whose sum is σ = 474528940704. Its totient is φ = 20171980800.

The previous prime is 101451974389. The next prime is 101451974467. The reversal of 101451974400 is 4479154101.

101451974400 is a `hidden beast` number, since 10 + 14 + 5 + 197 + 440 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2474438380 + ... + 2474438420.

Almost surely, 2^101451974400 is an apocalyptic number.

101451974400 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 101451974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237264470352).

101451974400 is an abundant number, since it is smaller than the sum of its proper divisors (373076966304).

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

101451974400 is a wasteful number, since it uses less digits than its factorization.

101451974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 101451974400 in words is "one hundred one billion, four hundred fifty-one million, nine hundred seventy-four thousand, four hundred".