1011418395840 has 336 divisors, whose sum is σ = 3631476201600. Its totient is φ = 258118410240.

The previous prime is 1011418395811. The next prime is 1011418395847. The reversal of 1011418395840 is 485938141101.

1011418395840 is a `hidden beast` number, since 10 + 1 + 14 + 18 + 39 + 584 + 0 = 666.

It is a super-3 number, since 3×1011418395840³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1011418395847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6422361 + ... + 6577959.

Almost surely, 2^{1011418395840} is an apocalyptic number.

1011418395840 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 1011418395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815738100800).

1011418395840 is an abundant number, since it is smaller than the sum of its proper divisors (2620057805760).

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

1011418395840 is a wasteful number, since it uses less digits than its factorization.

1011418395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155720 (or 155707 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 1011418395840 in words is "one trillion, eleven billion, four hundred eighteen million, three hundred ninety-five thousand, eight hundred forty".