1401162464100 has 144 divisors (see below), whose sum is σ = 4676478686208. Its totient is φ = 317272517760.

The previous prime is 1401162464081. The next prime is 1401162464111. The reversal of 1401162464100 is 14642611041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2893152 + ... + 3342551.

It is an arithmetic number, because the mean of its divisors is an integer number (32475546432).

Almost surely, 2^{1401162464100} is an apocalyptic number.

1401162464100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1401162464100 is an abundant number, since it is smaller than the sum of its proper divisors (3275316222108).

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

1401162464100 is a wasteful number, since it uses less digits than its factorization.

1401162464100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6235834 (or 6235827 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 1401162464100 in words is "one trillion, four hundred one billion, one hundred sixty-two million, four hundred sixty-four thousand, one hundred".