2138404280401 has 16 divisors (see below), whose sum is σ = 2205617097600. Its totient is φ = 2071915344000.

The previous prime is 2138404280321. The next prime is 2138404280423. The reversal of 2138404280401 is 1040824048312.

It is a cyclic number.

It is not a de Polignac number, because 2138404280401 - 2¹⁵ = 2138404247633 is a prime.

It is a super-3 number, since 3×2138404280401³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2138404380401) 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, 26078895 + ... + 26160763.

It is an arithmetic number, because the mean of its divisors is an integer number (137851068600).

Almost surely, 2^{2138404280401} is an apocalyptic number.

It is an amenable number.

2138404280401 is a deficient number, since it is larger than the sum of its proper divisors (67212817199).

2138404280401 is a wasteful number, since it uses less digits than its factorization.

2138404280401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86280.

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 2138404280401 in words is "two trillion, one hundred thirty-eight billion, four hundred four million, two hundred eighty thousand, four hundred one".