14039106157440 has 1920 divisors, whose sum is σ = 63065760801120. Its totient is φ = 2949953126400.

The previous prime is 14039106157429. The next prime is 14039106157451. The reversal of 14039106157440 is 4475160193041.

14039106157440 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 9 + 10 + 61 + 574 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14039106157429) and next prime (14039106157451).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9675468715 + ... + 9675470165.

Almost surely, 2^{14039106157440} is an apocalyptic number.

14039106157440 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 14039106157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31532880400560).

14039106157440 is an abundant number, since it is smaller than the sum of its proper divisors (49026654643680).

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

14039106157440 is a wasteful number, since it uses less digits than its factorization.

14039106157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 14039106157440 in words is "fourteen trillion, thirty-nine billion, one hundred six million, one hundred fifty-seven thousand, four hundred forty".