1377306272640 has 128 divisors (see below), whose sum is σ = 4391038432800. Its totient is φ = 367208497152.

The previous prime is 1377306272633. The next prime is 1377306272681. The reversal of 1377306272640 is 462726037731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1377306272640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9932424 + ... + 10070136.

Almost surely, 2^{1377306272640} is an apocalyptic number.

1377306272640 is a gapful number since it is divisible by the number (10) 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 1377306272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195519216400).

1377306272640 is an abundant number, since it is smaller than the sum of its proper divisors (3013732160160).

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

1377306272640 is a wasteful number, since it uses less digits than its factorization.

1377306272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142944 (or 142932 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 48.

The spelling of 1377306272640 in words is "one trillion, three hundred seventy-seven billion, three hundred six million, two hundred seventy-two thousand, six hundred forty".