1400134734816 has 96 divisors (see below), whose sum is σ = 3718078404768. Its totient is φ = 461315481600.

The previous prime is 1400134734797. The next prime is 1400134734833. The reversal of 1400134734816 is 6184374310041.

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

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, 2835966 + ... + 3292866.

It is an arithmetic number, because the mean of its divisors is an integer number (38729983383).

Almost surely, 2^{1400134734816} is an apocalyptic number.

1400134734816 is a gapful number since it is divisible by the number (16) 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 1400134734816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859039202384).

1400134734816 is an abundant number, since it is smaller than the sum of its proper divisors (2317943669952).

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

1400134734816 is a wasteful number, since it uses less digits than its factorization.

1400134734816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457284 (or 457276 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 1400134734816 in words is "one trillion, four hundred billion, one hundred thirty-four million, seven hundred thirty-four thousand, eight hundred sixteen".