10601474400 has 720 divisors, whose sum is σ = 42876630720. Its totient is φ = 2527718400.

The previous prime is 10601474399. The next prime is 10601474417. The reversal of 10601474400 is 447410601.

10601474400 is a `hidden beast` number, since 10 + 601 + 4 + 7 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10601474400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 76269531 + ... + 76269669.

It is an arithmetic number, because the mean of its divisors is an integer number (59550876).

Almost surely, 2^10601474400 is an apocalyptic number.

10601474400 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 10601474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21438315360).

10601474400 is an abundant number, since it is smaller than the sum of its proper divisors (32275156320).

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

10601474400 is a wasteful number, since it uses less digits than its factorization.

10601474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 10601474400 in words is "ten billion, six hundred one million, four hundred seventy-four thousand, four hundred".