14835361028040 has 1152 divisors, whose sum is σ = 60465059366400. Its totient is φ = 3135248363520.

The previous prime is 14835361028023. The next prime is 14835361028063. The reversal of 14835361028040 is 4082016353841.

14835361028040 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 5 + 3 + 610 + 28 + 0 + 4 + 0 = 666.

14835361028040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6631809802 + ... + 6631812038.

It is an arithmetic number, because the mean of its divisors is an integer number (52487030700).

Almost surely, 2^{14835361028040} is an apocalyptic number.

14835361028040 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 14835361028040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30232529683200).

14835361028040 is an abundant number, since it is smaller than the sum of its proper divisors (45629698338360).

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

14835361028040 is a wasteful number, since it uses less digits than its factorization.

14835361028040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 14835361028040 in words is "fourteen trillion, eight hundred thirty-five billion, three hundred sixty-one million, twenty-eight thousand, forty".