419400049298400 has 1008 divisors, whose sum is σ = 1625899469305104. Its totient is φ = 105228046909440.

The previous prime is 419400049298341. The next prime is 419400049298441. The reversal of 419400049298400 is 4892940004914.

It is a happy number.

419400049298400 is a `hidden beast` number, since 4 + 194 + 0 + 0 + 0 + 49 + 2 + 9 + 8 + 400 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 51822564754 + ... + 51822572846.

It is an arithmetic number, because the mean of its divisors is an integer number (1612995505263).

Almost surely, 2^{419400049298400} is an apocalyptic number.

419400049298400 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 419400049298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812949734652552).

419400049298400 is an abundant number, since it is smaller than the sum of its proper divisors (1206499420006704).

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

419400049298400 is a wasteful number, since it uses less digits than its factorization.

419400049298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13375 (or 13347 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 419400049298400 in words is "four hundred nineteen trillion, four hundred billion, forty-nine million, two hundred ninety-eight thousand, four hundred".