4002792284376 has 256 divisors, whose sum is σ = 11405478268800. Its totient is φ = 1316650982400.

The previous prime is 4002792284371. The next prime is 4002792284401. The reversal of 4002792284376 is 6734822972004.

4002792284376 is a `hidden beast` number, since 40 + 0 + 2 + 7 + 9 + 228 + 4 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002792284371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 553097430 + ... + 553104666.

Almost surely, 2^{4002792284376} 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 4002792284376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702739134400).

4002792284376 is an abundant number, since it is smaller than the sum of its proper divisors (7402685984424).

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

4002792284376 is a wasteful number, since it uses less digits than its factorization.

4002792284376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7678 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 4002792284376 in words is "four trillion, two billion, seven hundred ninety-two million, two hundred eighty-four thousand, three hundred seventy-six".