14542295040 has 1248 divisors, whose sum is σ = 67593442560. Its totient is φ = 2887778304.

The previous prime is 14542295039. The next prime is 14542295063. The reversal of 14542295040 is 4059224541.

It is a happy number.

14542295040 is a `hidden beast` number, since 1 + 4 + 542 + 29 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×14542295040² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14542294986 and 14542295004.

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, 855429112 + ... + 855429128.

Almost surely, 2^14542295040 is an apocalyptic number.

14542295040 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 14542295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33796721280).

14542295040 is an abundant number, since it is smaller than the sum of its proper divisors (53051147520).

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

14542295040 is a wasteful number, since it uses less digits than its factorization.

14542295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 14542295040 in words is "fourteen billion, five hundred forty-two million, two hundred ninety-five thousand, forty".