10501061040 has 240 divisors, whose sum is σ = 36423668736. Its totient is φ = 2709504000.

The previous prime is 10501061029. The next prime is 10501061059. The reversal of 10501061040 is 4016010501.

10501061040 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 10 + 610 + 40 = 666.

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

It is a super-3 number, since 3×10501061040³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3747640 + ... + 3750440.

Almost surely, 2^10501061040 is an apocalyptic number.

10501061040 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 10501061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18211834368).

10501061040 is an abundant number, since it is smaller than the sum of its proper divisors (25922607696).

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

10501061040 is a wasteful number, since it uses less digits than its factorization.

10501061040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10501061040 its reverse (4016010501), we get a palindrome (14517071541).

The spelling of 10501061040 in words is "ten billion, five hundred one million, sixty-one thousand, forty".