1019416226400 has 2592 divisors, whose sum is σ = 4703488957440. Its totient is φ = 204042240000.

The previous prime is 1019416226399. The next prime is 1019416226461. The reversal of 1019416226400 is 46226149101.

1019416226400 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 4 + 1 + 6 + 2 + 2 + 640 + 0 = 666.

1019416226400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 24863810380 + ... + 24863810420.

Almost surely, 2^{1019416226400} is an apocalyptic number.

1019416226400 is a gapful number since it is divisible by the number (10) 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 1019416226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351744478720).

1019416226400 is an abundant number, since it is smaller than the sum of its proper divisors (3684072731040).

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

1019416226400 is a wasteful number, since it uses less digits than its factorization.

1019416226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1019416226400 in words is "one trillion, nineteen billion, four hundred sixteen million, two hundred twenty-six thousand, four hundred".