40094578592784 has 405 divisors, whose sum is σ = 116843111368893. Its totient is φ = 12834666162432.

The previous prime is 40094578592767. The next prime is 40094578592807. The reversal of 40094578592784 is 48729587549004.

It is a happy number.

The square root of 40094578592784 is 6332028.

It is a perfect power (a square), and thus also a powerful number.

40094578592784 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 457 + 8 + 5 + 92 + 7 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27945728922384 + 12148849670400 = 5286372^2 + 3485520^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 367840170522 + ... + 367840170630.

Almost surely, 2^{40094578592784} is an apocalyptic number.

40094578592784 is the 6332028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40094578592784

40094578592784 is an abundant number, since it is smaller than the sum of its proper divisors (76748532776109).

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

40094578592784 is a wasteful number, since it uses less digits than its factorization.

40094578592784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 40094578592784 in words is "forty trillion, ninety-four billion, five hundred seventy-eight million, five hundred ninety-two thousand, seven hundred eighty-four".