10722461400 has 384 divisors, whose sum is σ = 42372288000. Its totient is φ = 2441387520.

The previous prime is 10722461353. The next prime is 10722461417. The reversal of 10722461400 is 416422701.

10722461400 is a `hidden beast` number, since 10 + 7 + 2 + 246 + 1 + 400 = 666.

It is a super-2 number, since 2×10722461400² (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 95 ways as a sum of consecutive naturals, for example, 15837862 + ... + 15838538.

It is an arithmetic number, because the mean of its divisors is an integer number (110344500).

Almost surely, 2^10722461400 is an apocalyptic number.

10722461400 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 10722461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21186144000).

10722461400 is an abundant number, since it is smaller than the sum of its proper divisors (31649826600).

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

10722461400 is a wasteful number, since it uses less digits than its factorization.

10722461400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1113 counting only the distinct ones).

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

The spelling of 10722461400 in words is "ten billion, seven hundred twenty-two million, four hundred sixty-one thousand, four hundred".