1417091428620 has 288 divisors, whose sum is σ = 5019260553216. Its totient is φ = 316878912000.

The previous prime is 1417091428583. The next prime is 1417091428679. The reversal of 1417091428620 is 268241907141.

1417091428620 is a `hidden beast` number, since 1 + 4 + 1 + 7 + 0 + 9 + 14 + 2 + 8 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211471270 + ... + 211477970.

It is an arithmetic number, because the mean of its divisors is an integer number (17427988032).

Almost surely, 2^{1417091428620} is an apocalyptic number.

1417091428620 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 1417091428620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509630276608).

1417091428620 is an abundant number, since it is smaller than the sum of its proper divisors (3602169124596).

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

1417091428620 is a wasteful number, since it uses less digits than its factorization.

1417091428620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10341 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1417091428620 in words is "one trillion, four hundred seventeen billion, ninety-one million, four hundred twenty-eight thousand, six hundred twenty".