40377748320 has 1440 divisors, whose sum is σ = 183662585568. Its totient is φ = 8277147648.

The previous prime is 40377748291. The next prime is 40377748409. The reversal of 40377748320 is 2384777304.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 553119804 + ... + 553119876.

Almost surely, 2^40377748320 is an apocalyptic number.

40377748320 is a gapful number since it is divisible by the number (40) 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 40377748320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91831292784).

40377748320 is an abundant number, since it is smaller than the sum of its proper divisors (143284837248).

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

40377748320 is a wasteful number, since it uses less digits than its factorization.

40377748320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 40377748320 in words is "forty billion, three hundred seventy-seven million, seven hundred forty-eight thousand, three hundred twenty".