1948617541440 has 168 divisors, whose sum is σ = 6705664617600. Its totient is φ = 519380757504.

The previous prime is 1948617541433. The next prime is 1948617541441. The reversal of 1948617541440 is 441457168491.

1948617541440 is a `hidden beast` number, since 1 + 9 + 4 + 8 + 617 + 5 + 4 + 14 + 4 + 0 = 666.

It is a super-2 number, since 2×1948617541440² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1948617541441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5848461 + ... + 6172659.

Almost surely, 2^{1948617541440} is an apocalyptic number.

1948617541440 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 1948617541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352832308800).

1948617541440 is an abundant number, since it is smaller than the sum of its proper divisors (4757047076160).

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

1948617541440 is a wasteful number, since it uses less digits than its factorization.

1948617541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326309 (or 326296 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1948617541440 in words is "one trillion, nine hundred forty-eight billion, six hundred seventeen million, five hundred forty-one thousand, four hundred forty".