40007235241072 has 160 divisors (see below), whose sum is σ = 86806194048000. Its totient is φ = 17704129228800.

The previous prime is 40007235241067. The next prime is 40007235241073. The reversal of 40007235241072 is 27014253270004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40007235241073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14003231068 + ... + 14003233924.

It is an arithmetic number, because the mean of its divisors is an integer number (542538712800).

Almost surely, 2^{40007235241072} 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 40007235241072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43403097024000).

40007235241072 is an abundant number, since it is smaller than the sum of its proper divisors (46798958806928).

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

40007235241072 is a wasteful number, since it uses less digits than its factorization.

40007235241072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6335 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The spelling of 40007235241072 in words is "forty trillion, seven billion, two hundred thirty-five million, two hundred forty-one thousand, seventy-two".