1540258138432 has 224 divisors, whose sum is σ = 3412172260224. Its totient is φ = 685233561600.

The previous prime is 1540258138423. The next prime is 1540258138439. The reversal of 1540258138432 is 2348318520451.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540258138439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2735804583 + ... + 2735805145.

It is an arithmetic number, because the mean of its divisors is an integer number (15232911876).

Almost surely, 2^{1540258138432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540258138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706086130112).

1540258138432 is an abundant number, since it is smaller than the sum of its proper divisors (1871914121792).

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

1540258138432 is a wasteful number, since it uses less digits than its factorization.

1540258138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 1540258138432 in words is "one trillion, five hundred forty billion, two hundred fifty-eight million, one hundred thirty-eight thousand, four hundred thirty-two".