40377916800 has 960 divisors, whose sum is σ = 167763324960. Its totient is φ = 9488793600.

The previous prime is 40377916793. The next prime is 40377916819. The reversal of 40377916800 is 861977304.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 77500540 + ... + 77501060.

Almost surely, 2^40377916800 is an apocalyptic number.

40377916800 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 40377916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83881662480).

40377916800 is an abundant number, since it is smaller than the sum of its proper divisors (127385408160).

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

40377916800 is a wasteful number, since it uses less digits than its factorization.

40377916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 40377916800 in words is "forty billion, three hundred seventy-seven million, nine hundred sixteen thousand, eight hundred".