40152100 has 36 divisors (see below), whose sum is σ = 88994304. Its totient is φ = 15717280.

The previous prime is 40152059. The next prime is 40152107. The reversal of 40152100 is 125104.

It is a super-2 number, since 2×40152100² = 3224382268820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40152107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429 + ... + 8971.

It is an arithmetic number, because the mean of its divisors is an integer number (2472064).

Almost surely, 2^40152100 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 40152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44497152).

40152100 is an abundant number, since it is smaller than the sum of its proper divisors (48842204).

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

40152100 is a wasteful number, since it uses less digits than its factorization.

40152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8604 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 40152100 is about 6336.5684719728. The cubic root of 40152100 is about 342.4281199611.

Adding to 40152100 its reverse (125104), we get a palindrome (40277204).

The spelling of 40152100 in words is "forty million, one hundred fifty-two thousand, one hundred".