1401609808000 has 64 divisors (see below), whose sum is σ = 3484752424920. Its totient is φ = 560643916800.

The previous prime is 1401609807979. The next prime is 1401609808021. The reversal of 1401609808000 is 8089061041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1401609807979) and next prime (1401609808021).

It can be written as a sum of positive squares in 4 ways, for example, as 182069476416 + 1219540331584 = 426696^2 + 1104328^2 .

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

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, 43784307 + ... + 43816306.

Almost surely, 2^{1401609808000} is an apocalyptic number.

1401609808000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1401609808000 is an abundant number, since it is smaller than the sum of its proper divisors (2083142616920).

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

1401609808000 is an frugal number, since it uses more digits than its factorization.

1401609808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87600642 (or 87600620 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 1401609808000 in words is "one trillion, four hundred one billion, six hundred nine million, eight hundred eight thousand".