40672138752 has 240 divisors, whose sum is σ = 136894586400. Its totient is φ = 11620159488.

The previous prime is 40672138723. The next prime is 40672138789. The reversal of 40672138752 is 25783127604.

It is a junction number, because it is equal to n+sod(n) for n = 40672138698 and 40672138707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567678 + ... + 1593410.

It is an arithmetic number, because the mean of its divisors is an integer number (570394110).

Almost surely, 2^40672138752 is an apocalyptic number.

40672138752 is a gapful number since it is divisible by the number (42) 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 40672138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68447293200).

40672138752 is an abundant number, since it is smaller than the sum of its proper divisors (96222447648).

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

40672138752 is an equidigital number, since it uses as much as digits as its factorization.

40672138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25778 (or 25745 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 40672138752 in words is "forty billion, six hundred seventy-two million, one hundred thirty-eight thousand, seven hundred fifty-two".