40712100 has 216 divisors, whose sum is σ = 141053472. Its totient is φ = 8985600.

The previous prime is 40712069. The next prime is 40712101. The reversal of 40712100 is 121704.

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 40712100.

It is not an unprimeable number, because it can be changed into a prime (40712101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 557664 + ... + 557736.

Almost surely, 2^40712100 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 40712100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70526736).

40712100 is an abundant number, since it is smaller than the sum of its proper divisors (100341372).

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

40712100 is a wasteful number, since it uses less digits than its factorization.

40712100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 40712100 is about 6380.6034197402. The cubic root of 40712100 is about 344.0127203697.

Adding to 40712100 its reverse (121704), we get a palindrome (40833804).

The spelling of 40712100 in words is "forty million, seven hundred twelve thousand, one hundred".