40152403200 has 1080 divisors, whose sum is σ = 168963400928. Its totient is φ = 8345272320.

The previous prime is 40152403177. The next prime is 40152403211. The reversal of 40152403200 is 230425104.

It is a super-3 number, since 3×40152403200³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 599289567 + ... + 599289633.

Almost surely, 2^40152403200 is an apocalyptic number.

40152403200 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 40152403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84481700464).

40152403200 is an abundant number, since it is smaller than the sum of its proper divisors (128810997728).

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

40152403200 is an equidigital number, since it uses as much as digits as its factorization.

40152403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 40152403200 its reverse (230425104), we get a palindrome (40382828304).

The spelling of 40152403200 in words is "forty billion, one hundred fifty-two million, four hundred three thousand, two hundred".