1377307923040 has 432 divisors, whose sum is σ = 4150807597440. Its totient is φ = 430083440640.

The previous prime is 1377307923001. The next prime is 1377307923107. The reversal of 1377307923040 is 403297037731.

It is a super-2 number, since 2×1377307923040² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70228756 + ... + 70248364.

It is an arithmetic number, because the mean of its divisors is an integer number (9608350920).

Almost surely, 2^{1377307923040} is an apocalyptic number.

1377307923040 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 1377307923040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075403798720).

1377307923040 is an abundant number, since it is smaller than the sum of its proper divisors (2773499674400).

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

1377307923040 is a wasteful number, since it uses less digits than its factorization.

1377307923040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19703 (or 19671 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 46.

The spelling of 1377307923040 in words is "one trillion, three hundred seventy-seven billion, three hundred seven million, nine hundred twenty-three thousand, forty".