4641427392000 has 960 divisors, whose sum is σ = 18020707600896. Its totient is φ = 1056783974400.

The previous prime is 4641427391999. The next prime is 4641427392013. The reversal of 4641427392000 is 2937241464.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2888255197 + ... + 2888256803.

Almost surely, 2^{4641427392000} is an apocalyptic number.

4641427392000 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 4641427392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9010353800448).

4641427392000 is an abundant number, since it is smaller than the sum of its proper divisors (13379280208896).

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

4641427392000 is a wasteful number, since it uses less digits than its factorization.

4641427392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 4641427392000 in words is "four trillion, six hundred forty-one billion, four hundred twenty-seven million, three hundred ninety-two thousand".