40120409472 has 384 divisors, whose sum is σ = 127385825280. Its totient is φ = 11112837120.

The previous prime is 40120409471. The next prime is 40120409509. The reversal of 40120409472 is 27490402104.

40120409472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40120409471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76711803 + ... + 76712325.

It is an arithmetic number, because the mean of its divisors is an integer number (331733920).

Almost surely, 2^40120409472 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 40120409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63692912640).

40120409472 is an abundant number, since it is smaller than the sum of its proper divisors (87265415808).

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

40120409472 is a wasteful number, since it uses less digits than its factorization.

40120409472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 40120409472 in words is "forty billion, one hundred twenty million, four hundred nine thousand, four hundred seventy-two".