1401106742664 has 64 divisors (see below), whose sum is σ = 3553186176000. Its totient is φ = 460317023040.

The previous prime is 1401106742663. The next prime is 1401106742677. The reversal of 1401106742664 is 4662476011041.

It is not an unprimeable number, because it can be changed into a prime (1401106742663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5531707 + ... + 5779445.

It is an arithmetic number, because the mean of its divisors is an integer number (55518534000).

Almost surely, 2^{1401106742664} is an apocalyptic number.

It is an amenable number.

1401106742664 is an abundant number, since it is smaller than the sum of its proper divisors (2152079433336).

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

1401106742664 is a wasteful number, since it uses less digits than its factorization.

1401106742664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251138 (or 251134 counting only the distinct ones).

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

The spelling of 1401106742664 in words is "one trillion, four hundred one billion, one hundred six million, seven hundred forty-two thousand, six hundred sixty-four".