40145100 has 72 divisors (see below), whose sum is σ = 122283840. Its totient is φ = 10140480.

The previous prime is 40145089. The next prime is 40145113. The reversal of 40145100 is 154104.

It is a super-2 number, since 2×40145100² = 3223258108020000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40145100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2179 + ... + 9221.

Almost surely, 2^40145100 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 40145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61141920).

40145100 is an abundant number, since it is smaller than the sum of its proper divisors (82138740).

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

40145100 is a wasteful number, since it uses less digits than its factorization.

40145100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7072 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 40145100 is about 6336.0160984644. The cubic root of 40145100 is about 342.4082194980.

Adding to 40145100 its reverse (154104), we get a palindrome (40299204).

The spelling of 40145100 in words is "forty million, one hundred forty-five thousand, one hundred".