477121993920 has 896 divisors, whose sum is σ = 2000121984000. Its totient is φ = 105544581120.

The previous prime is 477121993883. The next prime is 477121993927. The reversal of 477121993920 is 29399121774.

It is a happy number.

477121993920 is a `hidden beast` number, since 47 + 7 + 121 + 99 + 392 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (477121993927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109959111 + ... + 109963449.

It is an arithmetic number, because the mean of its divisors is an integer number (2232279000).

Almost surely, 2^477121993920 is an apocalyptic number.

477121993920 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 477121993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000060992000).

477121993920 is an abundant number, since it is smaller than the sum of its proper divisors (1522999990080).

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

477121993920 is a wasteful number, since it uses less digits than its factorization.

477121993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 477121993920 in words is "four hundred seventy-seven billion, one hundred twenty-one million, nine hundred ninety-three thousand, nine hundred twenty".