474825146040 has 640 divisors, whose sum is σ = 1923985958400. Its totient is φ = 102602142720.

The previous prime is 474825146017. The next prime is 474825146057. The reversal of 474825146040 is 40641528474.

474825146040 is a `hidden beast` number, since 4 + 7 + 4 + 8 + 25 + 14 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 284837287 + ... + 284838953.

It is an arithmetic number, because the mean of its divisors is an integer number (3006228060).

Almost surely, 2^474825146040 is an apocalyptic number.

474825146040 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 474825146040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961992979200).

474825146040 is an abundant number, since it is smaller than the sum of its proper divisors (1449160812360).

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

474825146040 is a wasteful number, since it uses less digits than its factorization.

474825146040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 474825146040 in words is "four hundred seventy-four billion, eight hundred twenty-five million, one hundred forty-six thousand, forty".