1540654349472 has 288 divisors, whose sum is σ = 5119898015232. Its totient is φ = 430295887872.

The previous prime is 1540654349471. The next prime is 1540654349539. The reversal of 1540654349472 is 2749434560451.

1540654349472 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 6 + 543 + 4 + 94 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1540654349472³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1540654349471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81192978 + ... + 81211950.

It is an arithmetic number, because the mean of its divisors is an integer number (17777423664).

Almost surely, 2^{1540654349472} is an apocalyptic number.

1540654349472 is a gapful number since it is divisible by the number (12) 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 1540654349472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559949007616).

1540654349472 is an abundant number, since it is smaller than the sum of its proper divisors (3579243665760).

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

1540654349472 is a wasteful number, since it uses less digits than its factorization.

1540654349472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19900 (or 19889 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 1540654349472 in words is "one trillion, five hundred forty billion, six hundred fifty-four million, three hundred forty-nine thousand, four hundred seventy-two".