10400634914351 has 16 divisors (see below), whose sum is σ = 11450561807520. Its totient is φ = 9368115333120.

The previous prime is 10400634914339. The next prime is 10400634914357. The reversal of 10400634914351 is 15341943600401.

10400634914351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10400634914351 - 2¹⁴ = 10400634897967 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10400634914299 and 10400634914308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400634914357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51832151 + ... + 52032423.

It is an arithmetic number, because the mean of its divisors is an integer number (715660112970).

Almost surely, 2^{10400634914351} is an apocalyptic number.

10400634914351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10400634914351 is a deficient number, since it is larger than the sum of its proper divisors (1049926893169).

10400634914351 is a wasteful number, since it uses less digits than its factorization.

10400634914351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243706.

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 10400634914351 in words is "ten trillion, four hundred billion, six hundred thirty-four million, nine hundred fourteen thousand, three hundred fifty-one".