40305537720 has 384 divisors, whose sum is σ = 154132992000. Its totient is φ = 8944266240.

The previous prime is 40305537707. The next prime is 40305537731. The reversal of 40305537720 is 2773550304.

40305537720 is a `hidden beast` number, since 4 + 0 + 30 + 553 + 7 + 72 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12142221 + ... + 12145539.

It is an arithmetic number, because the mean of its divisors is an integer number (401388000).

Almost surely, 2^40305537720 is an apocalyptic number.

40305537720 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 40305537720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77066496000).

40305537720 is an abundant number, since it is smaller than the sum of its proper divisors (113827454280).

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

40305537720 is a wasteful number, since it uses less digits than its factorization.

40305537720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The spelling of 40305537720 in words is "forty billion, three hundred five million, five hundred thirty-seven thousand, seven hundred twenty".