40725149514192 has 800 divisors, whose sum is σ = 141370830437760. Its totient is φ = 11155262976000.

The previous prime is 40725149514187. The next prime is 40725149514251. The reversal of 40725149514192 is 29141594152704.

It is a happy number.

40725149514192 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 5 + 1 + 495 + 141 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2588838967 + ... + 2588854697.

Almost surely, 2^{40725149514192} 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 40725149514192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70685415218880).

40725149514192 is an abundant number, since it is smaller than the sum of its proper divisors (100645680923568).

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

40725149514192 is a wasteful number, since it uses less digits than its factorization.

40725149514192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16065 (or 16050 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 40725149514192 in words is "forty trillion, seven hundred twenty-five billion, one hundred forty-nine million, five hundred fourteen thousand, one hundred ninety-two".