40152030000 has 400 divisors, whose sum is σ = 135529691616. Its totient is φ = 10229760000.

The previous prime is 40152029917. The next prime is 40152030047. The reversal of 40152030000 is 3025104.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×40152030000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 79 ways as a sum of consecutive naturals, for example, 67709704 + ... + 67710296.

Almost surely, 2^40152030000 is an apocalyptic number.

40152030000 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 40152030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67764845808).

40152030000 is an abundant number, since it is smaller than the sum of its proper divisors (95377661616).

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

40152030000 is a wasteful number, since it uses less digits than its factorization.

40152030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 40152030000 its reverse (3025104), we get a palindrome (40155055104).

The spelling of 40152030000 in words is "forty billion, one hundred fifty-two million, thirty thousand".