10690142400 has 1344 divisors, whose sum is σ = 48982579200. Its totient is φ = 2214051840.

The previous prime is 10690142399. The next prime is 10690142401. The reversal of 10690142400 is 424109601.

It is an interprime number because it is at equal distance from previous prime (10690142399) and next prime (10690142401).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×10690142400² (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 not an unprimeable number, because it can be changed into a prime (10690142401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201700774 + ... + 201700826.

Almost surely, 2^10690142400 is an apocalyptic number.

10690142400 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 10690142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24491289600).

10690142400 is an abundant number, since it is smaller than the sum of its proper divisors (38292436800).

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

10690142400 is a wasteful number, since it uses less digits than its factorization.

10690142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10690142400 in words is "ten billion, six hundred ninety million, one hundred forty-two thousand, four hundred".