101419802640 has 120 divisors (see below), whose sum is σ = 366801653400. Its totient is φ = 24964872192.

The previous prime is 101419802633. The next prime is 101419802657. The reversal of 101419802640 is 46208914101.

101419802640 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 9 + 8 + 0 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3114979344 + 98304823296 = 55812^2 + 313536^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 101419802595 and 101419802604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5408365 + ... + 5427084.

It is an arithmetic number, because the mean of its divisors is an integer number (3056680445).

Almost surely, 2^101419802640 is an apocalyptic number.

101419802640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101419802640 is an abundant number, since it is smaller than the sum of its proper divisors (265381850760).

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

101419802640 is a wasteful number, since it uses less digits than its factorization.

101419802640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10835481 (or 10835472 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 101419802640 in words is "one hundred one billion, four hundred nineteen million, eight hundred two thousand, six hundred forty".