2138404280400 has 90 divisors (see below), whose sum is σ = 7420856866670. Its totient is φ = 570241140480.

The previous prime is 2138404280321. The next prime is 2138404280423. The reversal of 2138404280400 is 40824048312.

2138404280400 is a `hidden beast` number, since 2 + 138 + 4 + 0 + 42 + 80 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11555390016 + 2126848890384 = 107496^2 + 1458372^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 296996995 + ... + 297004194.

Almost surely, 2^{2138404280400} is an apocalyptic number.

2138404280400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138404280400 is an abundant number, since it is smaller than the sum of its proper divisors (5282452586270).

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

2138404280400 is a wasteful number, since it uses less digits than its factorization.

2138404280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594001213 (or 594001199 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 2138404280400 in words is "two trillion, one hundred thirty-eight billion, four hundred four million, two hundred eighty thousand, four hundred".