1541438640 has 320 divisors, whose sum is σ = 6136273920. Its totient is φ = 348364800.

The previous prime is 1541438629. The next prime is 1541438641. The reversal of 1541438640 is 468341451.

1541438640 is a `hidden beast` number, since 1 + 5 + 4 + 1 + 4 + 3 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1541438595 and 1541438604.

It is not an unprimeable number, because it can be changed into a prime (1541438641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1466115 + ... + 1467165.

It is an arithmetic number, because the mean of its divisors is an integer number (19175856).

Almost surely, 2^1541438640 is an apocalyptic number.

1541438640 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 1541438640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068136960).

1541438640 is an abundant number, since it is smaller than the sum of its proper divisors (4594835280).

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

1541438640 is a wasteful number, since it uses less digits than its factorization.

1541438640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1541438640 is about 39261.1594327014. The cubic root of 1541438640 is about 1155.1598362033.

The spelling of 1541438640 in words is "one billion, five hundred forty-one million, four hundred thirty-eight thousand, six hundred forty".