41951540736 has 800 divisors, whose sum is σ = 153245334528. Its totient is φ = 11167580160.

The previous prime is 41951540693. The next prime is 41951540773. The reversal of 41951540736 is 63704515914.

It is a junction number, because it is equal to n+sod(n) for n = 41951540691 and 41951540700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 407296461 + ... + 407296563.

Almost surely, 2^41951540736 is an apocalyptic number.

41951540736 is a gapful number since it is divisible by the number (46) 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 41951540736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76622667264).

41951540736 is an abundant number, since it is smaller than the sum of its proper divisors (111293793792).

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

41951540736 is a wasteful number, since it uses less digits than its factorization.

41951540736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 41951540736 in words is "forty-one billion, nine hundred fifty-one million, five hundred forty thousand, seven hundred thirty-six".