1416102555420 has 288 divisors, whose sum is σ = 5027742824832. Its totient is φ = 315925069824.

The previous prime is 1416102555409. The next prime is 1416102555431. The reversal of 1416102555420 is 245552016141.

1416102555420 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 102 + 5 + 5 + 542 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1416102555409) and next prime (1416102555431).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12833604 + ... + 12943476.

It is an arithmetic number, because the mean of its divisors is an integer number (17457440364).

Almost surely, 2^{1416102555420} is an apocalyptic number.

1416102555420 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 1416102555420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513871412416).

1416102555420 is an abundant number, since it is smaller than the sum of its proper divisors (3611640269412).

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

1416102555420 is a wasteful number, since it uses less digits than its factorization.

1416102555420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110141 (or 110136 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 1416102555420 in words is "one trillion, four hundred sixteen billion, one hundred two million, five hundred fifty-five thousand, four hundred twenty".