1541020669440 has 320 divisors, whose sum is σ = 5634889058304. Its totient is φ = 351941787648.

The previous prime is 1541020669427. The next prime is 1541020669451. The reversal of 1541020669440 is 449660201451.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1541020669392 and 1541020669401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68640297 + ... + 68662743.

Almost surely, 2^{1541020669440} is an apocalyptic number.

1541020669440 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 1541020669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2817444529152).

1541020669440 is an abundant number, since it is smaller than the sum of its proper divisors (4093868388864).

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

1541020669440 is a wasteful number, since it uses less digits than its factorization.

1541020669440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23757 (or 23741 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 1541020669440 in words is "one trillion, five hundred forty-one billion, twenty million, six hundred sixty-nine thousand, four hundred forty".