14151155040 has 144 divisors (see below), whose sum is σ = 52680949776. Its totient is φ = 3430579200.

The previous prime is 14151155021. The next prime is 14151155059. The reversal of 14151155040 is 4055115141.

14151155040 is a `hidden beast` number, since 1 + 4 + 151 + 1 + 5 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14151155021) and next prime (14151155059).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14151155040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14151154995 and 14151155013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430851 + ... + 462530.

It is an arithmetic number, because the mean of its divisors is an integer number (365839929).

Almost surely, 2^14151155040 is an apocalyptic number.

14151155040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14151155040 is an abundant number, since it is smaller than the sum of its proper divisors (38529794736).

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

14151155040 is a wasteful number, since it uses less digits than its factorization.

14151155040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893413 (or 893402 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 14151155040 in words is "fourteen billion, one hundred fifty-one million, one hundred fifty-five thousand, forty".