101481494400 has 1152 divisors, whose sum is σ = 436516123680. Its totient is φ = 22118400000.

The previous prime is 101481494393. The next prime is 101481494423. The reversal of 101481494400 is 4494184101.

101481494400 is a `hidden beast` number, since 10 + 148 + 14 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 168854100 + ... + 168854700.

Almost surely, 2^101481494400 is an apocalyptic number.

101481494400 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 101481494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218258061840).

101481494400 is an abundant number, since it is smaller than the sum of its proper divisors (335034629280).

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

101481494400 is a wasteful number, since it uses less digits than its factorization.

101481494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 101481494400 in words is "one hundred one billion, four hundred eighty-one million, four hundred ninety-four thousand, four hundred".