2138774077440 has 3840 divisors, whose sum is σ = 10934660499840. Its totient is φ = 392398110720.

The previous prime is 2138774077423. The next prime is 2138774077477. The reversal of 2138774077440 is 447704778312.

2138774077440 is a `hidden beast` number, since 2 + 13 + 87 + 7 + 40 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 92990177269 + ... + 92990177291.

Almost surely, 2^{2138774077440} is an apocalyptic number.

2138774077440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138774077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5467330249920).

2138774077440 is an abundant number, since it is smaller than the sum of its proper divisors (8795886422400).

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

2138774077440 is a wasteful number, since it uses less digits than its factorization.

2138774077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The spelling of 2138774077440 in words is "two trillion, one hundred thirty-eight billion, seven hundred seventy-four million, seventy-seven thousand, four hundred forty".