4062420648000 has 2688 divisors, whose sum is σ = 17987596922880. Its totient is φ = 889574400000.

The previous prime is 4062420647947. The next prime is 4062420648037. The reversal of 4062420648000 is 8460242604.

It is a happy number.

4062420648000 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 4 + 2 + 0 + 648 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26903447925 + ... + 26903448075.

Almost surely, 2^{4062420648000} is an apocalyptic number.

4062420648000 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 4062420648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993798461440).

4062420648000 is an abundant number, since it is smaller than the sum of its proper divisors (13925176274880).

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

4062420648000 is a wasteful number, since it uses less digits than its factorization.

4062420648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 4062420648000 in words is "four trillion, sixty-two billion, four hundred twenty million, six hundred forty-eight thousand".