10126014474240 has 1536 divisors, whose sum is σ = 43340064768000. Its totient is φ = 2192524443648.

The previous prime is 10126014474239. The next prime is 10126014474241. The reversal of 10126014474240 is 4247441062101.

10126014474240 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 601 + 4 + 4 + 7 + 4 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (10126014474239) and next prime (10126014474241).

It is a tau number, because it is divible by the number of its divisors (1536).

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 = 10126014474195 and 10126014474204.

It is not an unprimeable number, because it can be changed into a prime (10126014474241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4851946477 + ... + 4851948563.

It is an arithmetic number, because the mean of its divisors is an integer number (28216188000).

Almost surely, 2^{10126014474240} is an apocalyptic number.

10126014474240 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 10126014474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21670032384000).

10126014474240 is an abundant number, since it is smaller than the sum of its proper divisors (33214050293760).

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

10126014474240 is a wasteful number, since it uses less digits than its factorization.

10126014474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2236 counting only the distinct ones).

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

The spelling of 10126014474240 in words is "ten trillion, one hundred twenty-six billion, fourteen million, four hundred seventy-four thousand, two hundred forty".