420154775040 has 2560 divisors, whose sum is σ = 1951363104768. Its totient is φ = 74317824000.

The previous prime is 420154775021. The next prime is 420154775059. The reversal of 420154775040 is 40577451024.

It is an interprime number because it is at equal distance from previous prime (420154775021) and next prime (420154775059).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 420154775040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9771041259 + ... + 9771041301.

Almost surely, 2^420154775040 is an apocalyptic number.

420154775040 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 420154775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975681552384).

420154775040 is an abundant number, since it is smaller than the sum of its proper divisors (1531208329728).

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

420154775040 is a wasteful number, since it uses less digits than its factorization.

420154775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 39.

The spelling of 420154775040 in words is "four hundred twenty billion, one hundred fifty-four million, seven hundred seventy-five thousand, forty".