1141638627360 has 384 divisors, whose sum is σ = 4587800684544. Its totient is φ = 231706460160.

The previous prime is 1141638627359. The next prime is 1141638627401. The reversal of 1141638627360 is 637268361411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1230112 + ... + 1948448.

It is an arithmetic number, because the mean of its divisors is an integer number (11947397616).

Almost surely, 2^{1141638627360} is an apocalyptic number.

1141638627360 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 1141638627360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293900342272).

1141638627360 is an abundant number, since it is smaller than the sum of its proper divisors (3446162057184).

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

1141638627360 is a wasteful number, since it uses less digits than its factorization.

1141638627360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718416 (or 718408 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 1141638627360 in words is "one trillion, one hundred forty-one billion, six hundred thirty-eight million, six hundred twenty-seven thousand, three hundred sixty".