1157432426640 has 240 divisors, whose sum is σ = 4452946243200. Its totient is φ = 263924103168.

The previous prime is 1157432426617. The next prime is 1157432426677. The reversal of 1157432426640 is 466242347511.

1157432426640 is a `hidden beast` number, since 1 + 1 + 574 + 32 + 4 + 2 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1837716 + ... + 2385804.

It is an arithmetic number, because the mean of its divisors is an integer number (18553942680).

Almost surely, 2^{1157432426640} is an apocalyptic number.

1157432426640 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 1157432426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226473121600).

1157432426640 is an abundant number, since it is smaller than the sum of its proper divisors (3295513816560).

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

1157432426640 is a wasteful number, since it uses less digits than its factorization.

1157432426640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548534 (or 548525 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 1157432426640 in words is "one trillion, one hundred fifty-seven billion, four hundred thirty-two million, four hundred twenty-six thousand, six hundred forty".