419347244400 has 480 divisors, whose sum is σ = 1638193482240. Its totient is φ = 89559613440.

The previous prime is 419347244387. The next prime is 419347244429. The reversal of 419347244400 is 4442743914.

It is a super-2 number, since 2×419347244400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11632804 + ... + 11668796.

It is an arithmetic number, because the mean of its divisors is an integer number (3412903088).

Almost surely, 2^419347244400 is an apocalyptic number.

419347244400 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 419347244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819096741120).

419347244400 is an abundant number, since it is smaller than the sum of its proper divisors (1218846237840).

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

419347244400 is a wasteful number, since it uses less digits than its factorization.

419347244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36113 (or 36102 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 419347244400 in words is "four hundred nineteen billion, three hundred forty-seven million, two hundred forty-four thousand, four hundred".