1401077456744 has 128 divisors (see below), whose sum is σ = 3209551257600. Its totient is φ = 560008753920.

The previous prime is 1401077456741. The next prime is 1401077456771. The reversal of 1401077456744 is 4476547701041.

It is a junction number, because it is equal to n+sod(n) for n = 1401077456692 and 1401077456701.

It is not an unprimeable number, because it can be changed into a prime (1401077456741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129952634 + ... + 129963414.

It is an arithmetic number, because the mean of its divisors is an integer number (25074619200).

Almost surely, 2^{1401077456744} is an apocalyptic number.

1401077456744 is a gapful number since it is divisible by the number (14) 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 1401077456744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604775628800).

1401077456744 is an abundant number, since it is smaller than the sum of its proper divisors (1808473800856).

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

1401077456744 is a wasteful number, since it uses less digits than its factorization.

1401077456744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12703 (or 12699 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 50.

The spelling of 1401077456744 in words is "one trillion, four hundred one billion, seventy-seven million, four hundred fifty-six thousand, seven hundred forty-four".