4007792339040 has 384 divisors, whose sum is σ = 14951524589568. Its totient is φ = 883060899840.

The previous prime is 4007792339039. The next prime is 4007792339107. The reversal of 4007792339040 is 409332977004.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26694262 + ... + 26843978.

It is an arithmetic number, because the mean of its divisors is an integer number (38936261952).

Almost surely, 2^{4007792339040} is an apocalyptic number.

4007792339040 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 4007792339040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7475762294784).

4007792339040 is an abundant number, since it is smaller than the sum of its proper divisors (10943732250528).

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

4007792339040 is a wasteful number, since it uses less digits than its factorization.

4007792339040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150030 (or 150022 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The spelling of 4007792339040 in words is "four trillion, seven billion, seven hundred ninety-two million, three hundred thirty-nine thousand, forty".