40042752000 has 384 divisors, whose sum is σ = 141112782720. Its totient is φ = 10046668800.

The previous prime is 40042751999. The next prime is 40042752011. The reversal of 40042752000 is 25724004.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13054467 + ... + 13057533.

It is an arithmetic number, because the mean of its divisors is an integer number (367481205).

Almost surely, 2^40042752000 is an apocalyptic number.

40042752000 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 40042752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70556391360).

40042752000 is an abundant number, since it is smaller than the sum of its proper divisors (101070030720).

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

40042752000 is a wasteful number, since it uses less digits than its factorization.

40042752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The spelling of 40042752000 in words is "forty billion, forty-two million, seven hundred fifty-two thousand".