40122093025 has 81 divisors (see below), whose sum is σ = 59484795129. Its totient is φ = 26767157760.

The previous prime is 40122093007. The next prime is 40122093061. The reversal of 40122093025 is 52039022104.

The square root of 40122093025 is 200305.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1475251281 + 38646841744 = 38409^2 + 196588^2 .

It is not a de Polignac number, because 40122093025 - 2¹⁹ = 40121568737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40122092984 and 40122093002.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 413629777 + ... + 413629873.

Almost surely, 2^40122093025 is an apocalyptic number.

40122093025 is the 200305-th square number.

40122093025 is the 100153-rd centered octagonal number.

It is an amenable number.

40122093025 is a deficient number, since it is larger than the sum of its proper divisors (19362702104).

40122093025 is an frugal number, since it uses more digits than its factorization.

40122093025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 40122093025 in words is "forty billion, one hundred twenty-two million, ninety-three thousand, twenty-five".