40125215040 has 224 divisors, whose sum is σ = 129602179200. Its totient is φ = 10515972096.

The previous prime is 40125214993. The next prime is 40125215059. The reversal of 40125215040 is 4051252104.

It is a super-2 number, since 2×40125215040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40125215040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23616111 + ... + 23617809.

Almost surely, 2^40125215040 is an apocalyptic number.

40125215040 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 40125215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64801089600).

40125215040 is an abundant number, since it is smaller than the sum of its proper divisors (89476964160).

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

40125215040 is a wasteful number, since it uses less digits than its factorization.

40125215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 40125215040 its reverse (4051252104), we get a palindrome (44176467144).

The spelling of 40125215040 in words is "forty billion, one hundred twenty-five million, two hundred fifteen thousand, forty".