40377537504 has 96 divisors (see below), whose sum is σ = 117922119840. Its totient is φ = 13441545216.

The previous prime is 40377537503. The next prime is 40377537511. The reversal of 40377537504 is 40573577304.

40377537504 is a `hidden beast` number, since 40 + 3 + 7 + 75 + 37 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 40377537504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40377537503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637644 + ... + 698100.

It is an arithmetic number, because the mean of its divisors is an integer number (1228355415).

Almost surely, 2^40377537504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40377537504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58961059920).

40377537504 is an abundant number, since it is smaller than the sum of its proper divisors (77544582336).

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

40377537504 is a wasteful number, since it uses less digits than its factorization.

40377537504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61249 (or 61235 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 45.

The spelling of 40377537504 in words is "forty billion, three hundred seventy-seven million, five hundred thirty-seven thousand, five hundred four".