101026499040 has 576 divisors, whose sum is σ = 389000102400. Its totient is φ = 23747530752.

The previous prime is 101026499023. The next prime is 101026499047. The reversal of 101026499040 is 40994620101.

It is a happy number.

101026499040 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 2 + 649 + 9 + 0 + 4 + 0 = 666.

It is a super-3 number, since 3×101026499040³ (a number of 34 digits) contains 333 as substring.

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 = 101026498986 and 101026499004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101026499047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23281191 + ... + 23285529.

It is an arithmetic number, because the mean of its divisors is an integer number (675347400).

Almost surely, 2^101026499040 is an apocalyptic number.

101026499040 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 101026499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194500051200).

101026499040 is an abundant number, since it is smaller than the sum of its proper divisors (287973603360).

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

101026499040 is a wasteful number, since it uses less digits than its factorization.

101026499040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 101026499040 in words is "one hundred one billion, twenty-six million, four hundred ninety-nine thousand, forty".