420877715005440 has 5376 divisors, whose sum is σ = 1992547328486400. Its totient is φ = 83235962880000.

The previous prime is 420877715005417. The next prime is 420877715005441. The reversal of 420877715005440 is 44500517778024.

420877715005440 is a `hidden beast` number, since 4 + 2 + 0 + 87 + 7 + 7 + 1 + 500 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420877715005441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1676803645315 + ... + 1676803645565.

It is an arithmetic number, because the mean of its divisors is an integer number (370637523900).

Almost surely, 2^{420877715005440} is an apocalyptic number.

420877715005440 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 420877715005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996273664243200).

420877715005440 is an abundant number, since it is smaller than the sum of its proper divisors (1571669613480960).

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

420877715005440 is a wasteful number, since it uses less digits than its factorization.

420877715005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 8780800, while the sum is 54.

The spelling of 420877715005440 in words is "four hundred twenty trillion, eight hundred seventy-seven billion, seven hundred fifteen million, five thousand, four hundred forty".