377407499040 has 1680 divisors, whose sum is σ = 1676768982840. Its totient is φ = 79486894080.

The previous prime is 377407499003. The next prime is 377407499087. The reversal of 377407499040 is 40994704773.

377407499040 is a `hidden beast` number, since 3 + 77 + 40 + 7 + 499 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 287068780944 + 90338718096 = 535788^2 + 300564^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 22200441112 + ... + 22200441128.

Almost surely, 2^377407499040 is an apocalyptic number.

377407499040 is a gapful number since it is divisible by the number (30) 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 377407499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838384491420).

377407499040 is an abundant number, since it is smaller than the sum of its proper divisors (1299361483800).

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

377407499040 is an equidigital number, since it uses as much as digits as its factorization.

377407499040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 377407499040 in words is "three hundred seventy-seven billion, four hundred seven million, four hundred ninety-nine thousand, forty".