40383774720 has 640 divisors, whose sum is σ = 154154048400. Its totient is φ = 10078912512.

The previous prime is 40383774701. The next prime is 40383774721. The reversal of 40383774720 is 2747738304.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×40383774720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40383774721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 225607591 + ... + 225607769.

Almost surely, 2^40383774720 is an apocalyptic number.

40383774720 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 40383774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77077024200).

40383774720 is an abundant number, since it is smaller than the sum of its proper divisors (113770273680).

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

40383774720 is an equidigital number, since it uses as much as digits as its factorization.

40383774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 40383774720 in words is "forty billion, three hundred eighty-three million, seven hundred seventy-four thousand, seven hundred twenty".