4040396640000 has 900 divisors, whose sum is σ = 17205924079344. Its totient is φ = 923498496000.

The previous prime is 4040396639999. The next prime is 4040396640011. The reversal of 4040396640000 is 466930404.

4040396640000 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 3 + 9 + 6 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 90697732 + ... + 90742268.

Almost surely, 2^{4040396640000} is an apocalyptic number.

4040396640000 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 4040396640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8602962039672).

4040396640000 is an abundant number, since it is smaller than the sum of its proper divisors (13165527439344).

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

4040396640000 is an frugal number, since it uses more digits than its factorization.

4040396640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44592 (or 44554 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 4040396640000 in words is "four trillion, forty billion, three hundred ninety-six million, six hundred forty thousand".