1406072100 has 72 divisors (see below), whose sum is σ = 4098050208. Its totient is φ = 372204800.

The previous prime is 1406072089. The next prime is 1406072123. The reversal of 1406072100 is 12706041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23995 + ... + 58205.

It is an arithmetic number, because the mean of its divisors is an integer number (56917364).

Almost surely, 2^1406072100 is an apocalyptic number.

1406072100 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 1406072100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049025104).

1406072100 is an abundant number, since it is smaller than the sum of its proper divisors (2691978108).

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

1406072100 is a wasteful number, since it uses less digits than its factorization.

1406072100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34365 (or 34358 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1406072100 is about 37497.6279249768. The cubic root of 1406072100 is about 1120.3039406822.

Adding to 1406072100 its reverse (12706041), we get a palindrome (1418778141).

The spelling of 1406072100 in words is "one billion, four hundred six million, seventy-two thousand, one hundred".