40741087296 has 224 divisors, whose sum is σ = 135907930368. Its totient is φ = 10482647040.

The previous prime is 40741087241. The next prime is 40741087319. The reversal of 40741087296 is 69278014704.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687916 + ... + 744788.

It is an arithmetic number, because the mean of its divisors is an integer number (606731832).

Almost surely, 2^40741087296 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 40741087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67953965184).

40741087296 is an abundant number, since it is smaller than the sum of its proper divisors (95166843072).

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

40741087296 is a wasteful number, since it uses less digits than its factorization.

40741087296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56949 (or 56939 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 40741087296 in words is "forty billion, seven hundred forty-one million, eighty-seven thousand, two hundred ninety-six".