40152000780 has 192 divisors, whose sum is σ = 128106316800. Its totient is φ = 10434977280.

The previous prime is 40152000773. The next prime is 40152000797. The reversal of 40152000780 is 8700025104.

40152000780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40152000780² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12095961 + ... + 12099279.

It is an arithmetic number, because the mean of its divisors is an integer number (667220400).

Almost surely, 2^40152000780 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 40152000780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64053158400).

40152000780 is an abundant number, since it is smaller than the sum of its proper divisors (87954316020).

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

40152000780 is a wasteful number, since it uses less digits than its factorization.

40152000780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 40152000780 its reverse (8700025104), we get a palindrome (48852025884).

The spelling of 40152000780 in words is "forty billion, one hundred fifty-two million, seven hundred eighty", and thus it is an aban number.