40293354816 has 336 divisors, whose sum is σ = 141590816640. Its totient is φ = 10780323840.

The previous prime is 40293354767. The next prime is 40293354833. The reversal of 40293354816 is 61845339204.

40293354816 is a `hidden beast` number, since 4 + 0 + 2 + 93 + 3 + 548 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1883830 + ... + 1905098.

It is an arithmetic number, because the mean of its divisors is an integer number (421401240).

Almost surely, 2^40293354816 is an apocalyptic number.

40293354816 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 40293354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70795408320).

40293354816 is an abundant number, since it is smaller than the sum of its proper divisors (101297461824).

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

40293354816 is a wasteful number, since it uses less digits than its factorization.

40293354816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21334 (or 21321 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 40293354816 in words is "forty billion, two hundred ninety-three million, three hundred fifty-four thousand, eight hundred sixteen".