1406976761728 has 64 divisors (see below), whose sum is σ = 2953330848000. Its totient is φ = 665820034560.

The previous prime is 1406976761719. The next prime is 1406976761761. The reversal of 1406976761728 is 8271676796041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1406976761728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2248443 + ... + 2805253.

It is an arithmetic number, because the mean of its divisors is an integer number (46145794500).

Almost surely, 2^{1406976761728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406976761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476665424000).

1406976761728 is an abundant number, since it is smaller than the sum of its proper divisors (1546354086272).

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

1406976761728 is a wasteful number, since it uses less digits than its factorization.

1406976761728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557883 (or 557871 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 64.

The spelling of 1406976761728 in words is "one trillion, four hundred six billion, nine hundred seventy-six million, seven hundred sixty-one thousand, seven hundred twenty-eight".