10140406632300 has 288 divisors, whose sum is σ = 34325876892160. Its totient is φ = 2263404902400.

The previous prime is 10140406632281. The next prime is 10140406632319. The reversal of 10140406632300 is 323660404101.

It is an interprime number because it is at equal distance from previous prime (10140406632281) and next prime (10140406632319).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 17521152 + ... + 18090648.

Almost surely, 2^{10140406632300} is an apocalyptic number.

10140406632300 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 10140406632300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17162938446080).

10140406632300 is an abundant number, since it is smaller than the sum of its proper divisors (24185470259860).

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

10140406632300 is a wasteful number, since it uses less digits than its factorization.

10140406632300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569721 (or 569714 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 10140406632300 in words is "ten trillion, one hundred forty billion, four hundred six million, six hundred thirty-two thousand, three hundred".