1406505426100 has 144 divisors (see below), whose sum is σ = 3293560448640. Its totient is φ = 519430348800.

The previous prime is 1406505426077. The next prime is 1406505426119. The reversal of 1406505426100 is 16245056041.

It is a super-2 number, since 2×1406505426100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 27424281 + ... + 27475519.

It is an arithmetic number, because the mean of its divisors is an integer number (22871947560).

Almost surely, 2^{1406505426100} is an apocalyptic number.

1406505426100 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 1406505426100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646780224320).

1406505426100 is an abundant number, since it is smaller than the sum of its proper divisors (1887055022540).

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

1406505426100 is a wasteful number, since it uses less digits than its factorization.

1406505426100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51578 (or 51571 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 1406505426100 in words is "one trillion, four hundred six billion, five hundred five million, four hundred twenty-six thousand, one hundred".