1541741040 has 400 divisors, whose sum is σ = 6276473280. Its totient is φ = 343388160.

The previous prime is 1541741027. The next prime is 1541741053. The reversal of 1541741040 is 401471451.

1541741040 is a `hidden beast` number, since 1 + 541 + 74 + 10 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1541741027) and next prime (1541741053).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1541740995 and 1541741013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1859346 + ... + 1860174.

Almost surely, 2^1541741040 is an apocalyptic number.

1541741040 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 1541741040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138236640).

1541741040 is an abundant number, since it is smaller than the sum of its proper divisors (4734732240).

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

1541741040 is a wasteful number, since it uses less digits than its factorization.

1541741040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1541741040 is about 39265.0103781980. The cubic root of 1541741040 is about 1155.2353711581.

The spelling of 1541741040 in words is "one billion, five hundred forty-one million, seven hundred forty-one thousand, forty".