11461019106240 has 784 divisors, whose sum is σ = 44682607933056. Its totient is φ = 2775683635200.

The previous prime is 11461019106221. The next prime is 11461019106319. The reversal of 11461019106240 is 4260191016411.

11461019106240 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 1 + 0 + 19 + 10 + 624 + 0 = 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 = 11461019106195 and 11461019106204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4031310259 + ... + 4031313101.

Almost surely, 2^{11461019106240} is an apocalyptic number.

11461019106240 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 11461019106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22341303966528).

11461019106240 is an abundant number, since it is smaller than the sum of its proper divisors (33221588826816).

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

11461019106240 is a wasteful number, since it uses less digits than its factorization.

11461019106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11461019106240 in words is "eleven trillion, four hundred sixty-one billion, nineteen million, one hundred six thousand, two hundred forty".