10701406400 has 168 divisors, whose sum is σ = 27234276240. Its totient is φ = 4135587840.

The previous prime is 10701406393. The next prime is 10701406409. The reversal of 10701406400 is 460410701.

It is a super-2 number, since 2×10701406400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10701406409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9649046 + ... + 9650154.

Almost surely, 2^10701406400 is an apocalyptic number.

10701406400 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 10701406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13617138120).

10701406400 is an abundant number, since it is smaller than the sum of its proper divisors (16532869840).

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

10701406400 is a wasteful number, since it uses less digits than its factorization.

10701406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 10701406400 in words is "ten billion, seven hundred one million, four hundred six thousand, four hundred".