10542401415 has 96 divisors (see below), whose sum is σ = 23216234496. Its totient is φ = 4305104640.

The previous prime is 10542401399. The next prime is 10542401431. The reversal of 10542401415 is 51410424501.

10542401415 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 240 + 1 + 415 = 666.

It is an interprime number because it is at equal distance from previous prime (10542401399) and next prime (10542401431).

It is not a de Polignac number, because 10542401415 - 2⁴ = 10542401399 is a prime.

It is a super-2 number, since 2×10542401415² (a number of 21 digits) contains 22 as substring.

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, 85422 + ... + 168468.

It is an arithmetic number, because the mean of its divisors is an integer number (241835776).

Almost surely, 2^10542401415 is an apocalyptic number.

10542401415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10542401415 is an abundant number, since it is smaller than the sum of its proper divisors (12673833081).

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

10542401415 is a wasteful number, since it uses less digits than its factorization.

10542401415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83109 (or 83106 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 10542401415 its reverse (51410424501), we get a palindrome (61952825916).

The spelling of 10542401415 in words is "ten billion, five hundred forty-two million, four hundred one thousand, four hundred fifteen".