1414246631400 has 144 divisors (see below), whose sum is σ = 4750768208160. Its totient is φ = 377032656000.

The previous prime is 1414246631393. The next prime is 1414246631407. The reversal of 1414246631400 is 41366424141.

1414246631400 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 246 + 6 + 3 + 1 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1414246631393) and next prime (1414246631407).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1414246631407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6829789 + ... + 7033811.

It is an arithmetic number, because the mean of its divisors is an integer number (32991445890).

Almost surely, 2^{1414246631400} is an apocalyptic number.

1414246631400 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 1414246631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375384104080).

1414246631400 is an abundant number, since it is smaller than the sum of its proper divisors (3336521576760).

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

1414246631400 is a wasteful number, since it uses less digits than its factorization.

1414246631400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207896 (or 207884 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1414246631400 in words is "one trillion, four hundred fourteen billion, two hundred forty-six million, six hundred thirty-one thousand, four hundred".