1420870181400 has 288 divisors, whose sum is σ = 4838899665600. Its totient is φ = 373596364800.

The previous prime is 1420870181389. The next prime is 1420870181429. The reversal of 1420870181400 is 41810780241.

1420870181400 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 8 + 70 + 181 + 400 = 666.

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 71 ways as a sum of consecutive naturals, for example, 47301586 + ... + 47331614.

It is an arithmetic number, because the mean of its divisors is an integer number (16801734950).

Almost surely, 2^{1420870181400} is an apocalyptic number.

1420870181400 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 1420870181400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419449832800).

1420870181400 is an abundant number, since it is smaller than the sum of its proper divisors (3418029484200).

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

1420870181400 is a wasteful number, since it uses less digits than its factorization.

1420870181400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30419 (or 30407 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 1420870181400 in words is "one trillion, four hundred twenty billion, eight hundred seventy million, one hundred eighty-one thousand, four hundred".