4495142615040 has 2304 divisors, whose sum is σ = 20863350144000. Its totient is φ = 900732026880.

The previous prime is 4495142614943. The next prime is 4495142615053. The reversal of 4495142615040 is 405162415944.

4495142615040 is a `hidden beast` number, since 4 + 49 + 5 + 1 + 42 + 61 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 191 ways as a sum of consecutive naturals, for example, 5556418156 + ... + 5556418964.

It is an arithmetic number, because the mean of its divisors is an integer number (9055273500).

Almost surely, 2^{4495142615040} is an apocalyptic number.

4495142615040 is a gapful number since it is divisible by the number (40) 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 4495142615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10431675072000).

4495142615040 is an abundant number, since it is smaller than the sum of its proper divisors (16368207528960).

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

4495142615040 is a wasteful number, since it uses less digits than its factorization.

4495142615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 4495142615040 in words is "four trillion, four hundred ninety-five billion, one hundred forty-two million, six hundred fifteen thousand, forty".