10414007335776 has 96 divisors (see below), whose sum is σ = 29976448457088. Its totient is φ = 3139408650240.

The previous prime is 10414007335763. The next prime is 10414007335811. The reversal of 10414007335776 is 67753370041401.

10414007335776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25344766 + ... + 25752381.

It is an arithmetic number, because the mean of its divisors is an integer number (312254671428).

Almost surely, 2^{10414007335776} is an apocalyptic number.

10414007335776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10414007335776 is an abundant number, since it is smaller than the sum of its proper divisors (19562441121312).

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

10414007335776 is a wasteful number, since it uses less digits than its factorization.

10414007335776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51097364 (or 51097356 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 10414007335776 in words is "ten trillion, four hundred fourteen billion, seven million, three hundred thirty-five thousand, seven hundred seventy-six".