14296157202240 has 336 divisors, whose sum is σ = 49282586238288. Its totient is φ = 3803809185792.

The previous prime is 14296157202199. The next prime is 14296157202247. The reversal of 14296157202240 is 4220275169241.

14296157202240 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 615 + 7 + 2 + 0 + 2 + 24 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 90735898176 + 14205421304064 = 301224^2 + 3769008^2 .

It is a super-2 number, since 2×14296157202240² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14296157202247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3167770224 + ... + 3167774736.

Almost surely, 2^{14296157202240} is an apocalyptic number.

14296157202240 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 14296157202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24641293119144).

14296157202240 is an abundant number, since it is smaller than the sum of its proper divisors (34986429036048).

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

14296157202240 is a wasteful number, since it uses less digits than its factorization.

14296157202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6746 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14296157202240 in words is "fourteen trillion, two hundred ninety-six billion, one hundred fifty-seven million, two hundred two thousand, two hundred forty".