40000377600 has 324 divisors, whose sum is σ = 145039435632. Its totient is φ = 10515456000.

The previous prime is 40000377563. The next prime is 40000377601. The reversal of 40000377600 is 677300004.

It is not an unprimeable number, because it can be changed into a prime (40000377601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4084710 + ... + 4094490.

Almost surely, 2^40000377600 is an apocalyptic number.

40000377600 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 40000377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72519717816).

40000377600 is an abundant number, since it is smaller than the sum of its proper divisors (105039058032).

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

40000377600 is a wasteful number, since it uses less digits than its factorization.

40000377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9884 (or 9862 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

Adding to 40000377600 its reverse (677300004), we get a palindrome (40677677604).

The spelling of 40000377600 in words is "forty billion, three hundred seventy-seven thousand, six hundred".