1377495040 has 192 divisors, whose sum is σ = 3603534480. Its totient is φ = 503316480.

The previous prime is 1377495029. The next prime is 1377495043. The reversal of 1377495040 is 405947731.

It can be written as a sum of positive squares in 8 ways, for example, as 254977024 + 1122518016 = 15968^2 + 33504^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1377494984 and 1377495002.

It is not an unprimeable number, because it can be changed into a prime (1377495043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7137184 + ... + 7137376.

Almost surely, 2^1377495040 is an apocalyptic number.

1377495040 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 1377495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801767240).

1377495040 is an abundant number, since it is smaller than the sum of its proper divisors (2226039440).

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

1377495040 is a wasteful number, since it uses less digits than its factorization.

1377495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 1377495040 is about 37114.6202998225. The cubic root of 1377495040 is about 1112.6622351459.

The spelling of 1377495040 in words is "one billion, three hundred seventy-seven million, four hundred ninety-five thousand, forty".