1154028138240 has 576 divisors, whose sum is σ = 3853376271360. Its totient is φ = 294119669760.

The previous prime is 1154028138239. The next prime is 1154028138253. The reversal of 1154028138240 is 428318204511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2028168676 + ... + 2028169244.

It is an arithmetic number, because the mean of its divisors is an integer number (6689889360).

Almost surely, 2^{1154028138240} is an apocalyptic number.

1154028138240 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 1154028138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926688135680).

1154028138240 is an abundant number, since it is smaller than the sum of its proper divisors (2699348133120).

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

1154028138240 is a wasteful number, since it uses less digits than its factorization.

1154028138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 1154028138240 in words is "one trillion, one hundred fifty-four billion, twenty-eight million, one hundred thirty-eight thousand, two hundred forty".