1377411840 has 864 divisors, whose sum is σ = 6122188800. Its totient is φ = 278691840.

The previous prime is 1377411829. The next prime is 1377411899. The reversal of 1377411840 is 481147731.

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

It is a junction number, because it is equal to n+sod(n) for n = 1377411795 and 1377411804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44432625 + ... + 44432655.

Almost surely, 2^1377411840 is an apocalyptic number.

1377411840 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 1377411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061094400).

1377411840 is an abundant number, since it is smaller than the sum of its proper divisors (4744776960).

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

1377411840 is a wasteful number, since it uses less digits than its factorization.

1377411840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1377411840 is about 37113.4994308001. The cubic root of 1377411840 is about 1112.6398332838.

The spelling of 1377411840 in words is "one billion, three hundred seventy-seven million, four hundred eleven thousand, eight hundred forty".