40409794152 has 576 divisors, whose sum is σ = 140780465280. Its totient is φ = 10247897088.

The previous prime is 40409794151. The next prime is 40409794153. The reversal of 40409794152 is 25149790404.

40409794152 is a `hidden beast` number, since 4 + 0 + 409 + 7 + 94 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (40409794151) and next prime (40409794153).

It is a junction number, because it is equal to n+sod(n) for n = 40409794098 and 40409794107.

It is not an unprimeable number, because it can be changed into a prime (40409794151) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 416595768 + ... + 416595864.

It is an arithmetic number, because the mean of its divisors is an integer number (244410530).

Almost surely, 2^40409794152 is an apocalyptic number.

40409794152 is a gapful number since it is divisible by the number (42) 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 40409794152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70390232640).

40409794152 is an abundant number, since it is smaller than the sum of its proper divisors (100370671128).

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

40409794152 is a wasteful number, since it uses less digits than its factorization.

40409794152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40409794152 in words is "forty billion, four hundred nine million, seven hundred ninety-four thousand, one hundred fifty-two".