40928346192384 has 1280 divisors, whose sum is σ = 145972835712000. Its totient is φ = 11076328488960.

The previous prime is 40928346192361. The next prime is 40928346192451. The reversal of 40928346192384 is 48329164382904.

40928346192384 is a `hidden beast` number, since 4 + 0 + 9 + 2 + 8 + 3 + 4 + 619 + 2 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49370742882 + ... + 49370743710.

It is an arithmetic number, because the mean of its divisors is an integer number (114041277900).

Almost surely, 2^{40928346192384} 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 40928346192384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72986417856000).

40928346192384 is an abundant number, since it is smaller than the sum of its proper divisors (105044489519616).

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

40928346192384 is a wasteful number, since it uses less digits than its factorization.

40928346192384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 40928346192384 in words is "forty trillion, nine hundred twenty-eight billion, three hundred forty-six million, one hundred ninety-two thousand, three hundred eighty-four".