4619973361920 has 1152 divisors, whose sum is σ = 18220764119040. Its totient is φ = 974766735360.

The previous prime is 4619973361841. The next prime is 4619973361951. The reversal of 4619973361920 is 291633799164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2458739541 + ... + 2458741419.

It is an arithmetic number, because the mean of its divisors is an integer number (15816635520).

Almost surely, 2^{4619973361920} is an apocalyptic number.

4619973361920 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 4619973361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9110382059520).

4619973361920 is an abundant number, since it is smaller than the sum of its proper divisors (13600790757120).

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

4619973361920 is a wasteful number, since it uses less digits than its factorization.

4619973361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 60.

The spelling of 4619973361920 in words is "four trillion, six hundred nineteen billion, nine hundred seventy-three million, three hundred sixty-one thousand, nine hundred twenty".