40101231456 has 864 divisors, whose sum is σ = 147569071104. Its totient is φ = 10218700800.

The previous prime is 40101231437. The next prime is 40101231463. The reversal of 40101231456 is 65413210104.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315757665 + ... + 315757791.

It is an arithmetic number, because the mean of its divisors is an integer number (170797536).

Almost surely, 2^40101231456 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 40101231456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73784535552).

40101231456 is an abundant number, since it is smaller than the sum of its proper divisors (107467839648).

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

40101231456 is a wasteful number, since it uses less digits than its factorization.

40101231456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 40101231456 in words is "forty billion, one hundred one million, two hundred thirty-one thousand, four hundred fifty-six".