40357349760 has 512 divisors, whose sum is σ = 166671590400. Its totient is φ = 8066138112.

The previous prime is 40357349729. The next prime is 40357349797. The reversal of 40357349760 is 6794375304.

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

It is a congruent number.

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, 3313602 + ... + 3325758.

It is an arithmetic number, because the mean of its divisors is an integer number (325530450).

Almost surely, 2^40357349760 is an apocalyptic number.

40357349760 is a gapful number since it is divisible by the number (40) 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 40357349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83335795200).

40357349760 is an abundant number, since it is smaller than the sum of its proper divisors (126314240640).

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

40357349760 is a wasteful number, since it uses less digits than its factorization.

40357349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12218 (or 12206 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The spelling of 40357349760 in words is "forty billion, three hundred fifty-seven million, three hundred forty-nine thousand, seven hundred sixty".