40281421824 has 576 divisors, whose sum is σ = 142714091520. Its totient is φ = 11107860480.

The previous prime is 40281421819. The next prime is 40281421883. The reversal of 40281421824 is 42812418204.

It is a happy number.

40281421824 is a `hidden beast` number, since 402 + 8 + 14 + 218 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 107992902 + ... + 107993274.

It is an arithmetic number, because the mean of its divisors is an integer number (247767520).

Almost surely, 2^40281421824 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 40281421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71357045760).

40281421824 is an abundant number, since it is smaller than the sum of its proper divisors (102432669696).

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

40281421824 is an equidigital number, since it uses as much as digits as its factorization.

40281421824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 40281421824 in words is "forty billion, two hundred eighty-one million, four hundred twenty-one thousand, eight hundred twenty-four".