420091754880 has 768 divisors, whose sum is σ = 1607052856320. Its totient is φ = 93026304000.

The previous prime is 420091754851. The next prime is 420091754969. The reversal of 420091754880 is 88457190024.

It is a happy number.

420091754880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 407459965 + ... + 407460995.

It is an arithmetic number, because the mean of its divisors is an integer number (2092516740).

Almost surely, 2^420091754880 is an apocalyptic number.

420091754880 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 420091754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803526428160).

420091754880 is an abundant number, since it is smaller than the sum of its proper divisors (1186961101440).

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

420091754880 is a wasteful number, since it uses less digits than its factorization.

420091754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 420091754880 in words is "four hundred twenty billion, ninety-one million, seven hundred fifty-four thousand, eight hundred eighty".