40377506400 has 864 divisors, whose sum is σ = 183528253440. Its totient is φ = 8386329600.

The previous prime is 40377506371. The next prime is 40377506401. The reversal of 40377506400 is 460577304.

40377506400 is a `hidden beast` number, since 4 + 0 + 3 + 7 + 7 + 5 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40377506401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18294097 + ... + 18296303.

It is an arithmetic number, because the mean of its divisors is an integer number (212416960).

Almost surely, 2^40377506400 is an apocalyptic number.

40377506400 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 40377506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91764126720).

40377506400 is an abundant number, since it is smaller than the sum of its proper divisors (143150747040).

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

40377506400 is a wasteful number, since it uses less digits than its factorization.

40377506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 40377506400 in words is "forty billion, three hundred seventy-seven million, five hundred six thousand, four hundred".