40007520000 has 1260 divisors, whose sum is σ = 174482585200. Its totient is φ = 9144576000.

The previous prime is 40007519989. The next prime is 40007520001. The reversal of 40007520000 is 2570004.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40007520001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 5715359997 + ... + 5715360003.

Almost surely, 2^40007520000 is an apocalyptic number.

40007520000 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 40007520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87241292600).

40007520000 is an abundant number, since it is smaller than the sum of its proper divisors (134475065200).

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

40007520000 is an frugal number, since it uses more digits than its factorization.

40007520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The spelling of 40007520000 in words is "forty billion, seven million, five hundred twenty thousand".