419958098461440 has 8640 divisors, whose sum is σ = 2116262747934720. Its totient is φ = 76977473126400.

The previous prime is 419958098461427. The next prime is 419958098461441. The reversal of 419958098461440 is 44164890859914.

419958098461440 is a `hidden beast` number, since 4 + 1 + 9 + 9 + 58 + 0 + 98 + 46 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (419958098461441) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 6268031320287 + ... + 6268031320353.

It is an arithmetic number, because the mean of its divisors is an integer number (244937818048).

Almost surely, 2^{419958098461440} is an apocalyptic number.

419958098461440 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 419958098461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058131373967360).

419958098461440 is an abundant number, since it is smaller than the sum of its proper divisors (1696304649473280).

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

419958098461440 is a wasteful number, since it uses less digits than its factorization.

419958098461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 419958098461440 in words is "four hundred nineteen trillion, nine hundred fifty-eight billion, ninety-eight million, four hundred sixty-one thousand, four hundred forty".