1406120056500 has 768 divisors, whose sum is σ = 4691777126400. Its totient is φ = 325334016000.

The previous prime is 1406120056441. The next prime is 1406120056507. The reversal of 1406120056500 is 56500216041.

It is a super-2 number, since 2×1406120056500² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406120056507) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1902733131 + ... + 1902733869.

It is an arithmetic number, because the mean of its divisors is an integer number (6109084800).

Almost surely, 2^{1406120056500} is an apocalyptic number.

1406120056500 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 1406120056500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345888563200).

1406120056500 is an abundant number, since it is smaller than the sum of its proper divisors (3285657069900).

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

1406120056500 is a wasteful number, since it uses less digits than its factorization.

1406120056500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 1406120056500 in words is "one trillion, four hundred six billion, one hundred twenty million, fifty-six thousand, five hundred".