472644400250880 has 4896 divisors, whose sum is σ = 2092063682322432. Its totient is φ = 101361018470400.

The previous prime is 472644400250879. The next prime is 472644400251013. The reversal of 472644400250880 is 88052004446274.

It is a happy number.

472644400250880 is a `hidden beast` number, since 4 + 72 + 6 + 4 + 440 + 0 + 2 + 50 + 8 + 80 = 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 (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4588780584909 + ... + 4588780585011.

Almost surely, 2^{472644400250880} is an apocalyptic number.

472644400250880 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 472644400250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046031841161216).

472644400250880 is an abundant number, since it is smaller than the sum of its proper divisors (1619419282071552).

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

472644400250880 is a wasteful number, since it uses less digits than its factorization.

472644400250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 472644400250880 in words is "four hundred seventy-two trillion, six hundred forty-four billion, four hundred million, two hundred fifty thousand, eight hundred eighty".