11457362442240 has 1344 divisors, whose sum is σ = 48427961793120. Its totient is φ = 2563646423040.

The previous prime is 11457362442203. The next prime is 11457362442293. The reversal of 11457362442240 is 4224426375411.

11457362442240 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 7 + 362 + 4 + 42 + 240 = 666.

It is a super-3 number, since 3×11457362442240³ (a number of 40 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1067483914 + ... + 1067494646.

Almost surely, 2^{11457362442240} is an apocalyptic number.

11457362442240 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 11457362442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24213980896560).

11457362442240 is an abundant number, since it is smaller than the sum of its proper divisors (36970599350880).

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

11457362442240 is a wasteful number, since it uses less digits than its factorization.

11457362442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10802 (or 10767 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 11457362442240 in words is "eleven trillion, four hundred fifty-seven billion, three hundred sixty-two million, four hundred forty-two thousand, two hundred forty".