40285903680 has 1344 divisors, whose sum is σ = 175283896320. Its totient is φ = 8360755200.

The previous prime is 40285903601. The next prime is 40285903709. The reversal of 40285903680 is 8630958204.

40285903680 is a `hidden beast` number, since 4 + 0 + 28 + 590 + 36 + 8 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 317211777 + ... + 317211903.

Almost surely, 2^40285903680 is an apocalyptic number.

40285903680 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 40285903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87641948160).

40285903680 is an abundant number, since it is smaller than the sum of its proper divisors (134997992640).

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

40285903680 is a wasteful number, since it uses less digits than its factorization.

40285903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 40285903680 in words is "forty billion, two hundred eighty-five million, nine hundred three thousand, six hundred eighty".