421154389459440 has 1920 divisors, whose sum is σ = 1883581776384000. Its totient is φ = 84213473845248.

The previous prime is 421154389459343. The next prime is 421154389459477. The reversal of 421154389459440 is 44954983451124.

421154389459440 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 5 + 4 + 38 + 9 + 4 + 594 + 4 + 0 = 666.

It is a super-2 number, since 2×421154389459440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 11333827581 + ... + 11333864739.

It is an arithmetic number, because the mean of its divisors is an integer number (981032175200).

Almost surely, 2^{421154389459440} is an apocalyptic number.

421154389459440 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 421154389459440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941790888192000).

421154389459440 is an abundant number, since it is smaller than the sum of its proper divisors (1462427386924560).

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

421154389459440 is a wasteful number, since it uses less digits than its factorization.

421154389459440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37356 (or 37321 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 421154389459440 in words is "four hundred twenty-one trillion, one hundred fifty-four billion, three hundred eighty-nine million, four hundred fifty-nine thousand, four hundred forty".