1014134043240 has 512 divisors, whose sum is σ = 3773335104000. Its totient is φ = 240769843200.

The previous prime is 1014134043161. The next prime is 1014134043287. The reversal of 1014134043240 is 423404314101.

1014134043240 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 13 + 404 + 3 + 240 = 666.

1014134043240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 286395870 + ... + 286399410.

It is an arithmetic number, because the mean of its divisors is an integer number (7369795125).

Almost surely, 2^{1014134043240} is an apocalyptic number.

1014134043240 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 1014134043240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886667552000).

1014134043240 is an abundant number, since it is smaller than the sum of its proper divisors (2759201060760).

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

1014134043240 is a wasteful number, since it uses less digits than its factorization.

1014134043240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1014134043240 its reverse (423404314101), we get a palindrome (1437538357341).

The spelling of 1014134043240 in words is "one trillion, fourteen billion, one hundred thirty-four million, forty-three thousand, two hundred forty".