101341351440 has 240 divisors, whose sum is σ = 402370675200. Its totient is φ = 22364955648.

The previous prime is 101341351429. The next prime is 101341351471. The reversal of 101341351440 is 44153143101.

101341351440 is a `hidden beast` number, since 1 + 0 + 134 + 13 + 514 + 4 + 0 = 666.

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

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, 200520 + ... + 492839.

It is an arithmetic number, because the mean of its divisors is an integer number (1676544480).

Almost surely, 2^101341351440 is an apocalyptic number.

101341351440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101341351440 is an abundant number, since it is smaller than the sum of its proper divisors (301029323760).

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

101341351440 is a wasteful number, since it uses less digits than its factorization.

101341351440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693414 (or 693405 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 101341351440 its reverse (44153143101), we get a palindrome (145494494541).

The spelling of 101341351440 in words is "one hundred one billion, three hundred forty-one million, three hundred fifty-one thousand, four hundred forty".