40752340704 has 192 divisors, whose sum is σ = 126004092480. Its totient is φ = 12769689600.

The previous prime is 40752340669. The next prime is 40752340729. The reversal of 40752340704 is 40704325704.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23514622 + ... + 23516354.

It is an arithmetic number, because the mean of its divisors is an integer number (656271315).

Almost surely, 2^40752340704 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 40752340704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63002046240).

40752340704 is an abundant number, since it is smaller than the sum of its proper divisors (85251751776).

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

40752340704 is a wasteful number, since it uses less digits than its factorization.

40752340704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 40752340704 in words is "forty billion, seven hundred fifty-two million, three hundred forty thousand, seven hundred four".