1426902220800 has 936 divisors, whose sum is σ = 6058051280736. Its totient is φ = 326149079040.

The previous prime is 1426902220769. The next prime is 1426902220829. The reversal of 1426902220800 is 80222096241.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 4! ⋅ (2!)¹⁴.

1426902220800 is a `hidden beast` number, since 1 + 426 + 9 + 0 + 2 + 220 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 203843174397 + ... + 203843174403.

Almost surely, 2^{1426902220800} is an apocalyptic number.

1426902220800 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 1426902220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029025640368).

1426902220800 is an abundant number, since it is smaller than the sum of its proper divisors (4631149059936).

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

1426902220800 is an frugal number, since it uses more digits than its factorization.

1426902220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1426902220800 in words is "one trillion, four hundred twenty-six billion, nine hundred two million, two hundred twenty thousand, eight hundred".