420779735040 has 1536 divisors, whose sum is σ = 1739037081600. Its totient is φ = 84651540480.

The previous prime is 420779735039. The next prime is 420779735059. The reversal of 420779735040 is 40537977024.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 5326325721 + ... + 5326325799.

It is an arithmetic number, because the mean of its divisors is an integer number (1132185600).

Almost surely, 2^420779735040 is an apocalyptic number.

420779735040 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 420779735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869518540800).

420779735040 is an abundant number, since it is smaller than the sum of its proper divisors (1318257346560).

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

420779735040 is a wasteful number, since it uses less digits than its factorization.

420779735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 420779735040 in words is "four hundred twenty billion, seven hundred seventy-nine million, seven hundred thirty-five thousand, forty".