1780406014100 has 144 divisors (see below), whose sum is σ = 4437579226752. Its totient is φ = 607363031040.

The previous prime is 1780406014073. The next prime is 1780406014181. The reversal of 1780406014100 is 14106040871.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422195192 + ... + 422199408.

It is an arithmetic number, because the mean of its divisors is an integer number (30816522408).

Almost surely, 2^{1780406014100} is an apocalyptic number.

1780406014100 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 1780406014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218789613376).

1780406014100 is an abundant number, since it is smaller than the sum of its proper divisors (2657173212652).

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

1780406014100 is a wasteful number, since it uses less digits than its factorization.

1780406014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7122 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 1780406014100 in words is "one trillion, seven hundred eighty billion, four hundred six million, fourteen thousand, one hundred".