10137284202240 has 1728 divisors, whose sum is σ = 39680813652480. Its totient is φ = 2373498961920.

The previous prime is 10137284202239. The next prime is 10137284202281. The reversal of 10137284202240 is 4220248273101.

10137284202240 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 7 + 2 + 8 + 420 + 224 + 0 = 666.

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 = 10137284202195 and 10137284202204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 56007094950 + ... + 56007095130.

Almost surely, 2^{10137284202240} is an apocalyptic number.

10137284202240 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 10137284202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19840406826240).

10137284202240 is an abundant number, since it is smaller than the sum of its proper divisors (29543529450240).

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

10137284202240 is a wasteful number, since it uses less digits than its factorization.

10137284202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 10137284202240 in words is "ten trillion, one hundred thirty-seven billion, two hundred eighty-four million, two hundred two thousand, two hundred forty".