10642511111430 has 256 divisors, whose sum is σ = 29501521920000. Its totient is φ = 2431931927040.

The previous prime is 10642511111429. The next prime is 10642511111461. The reversal of 10642511111430 is 3411111524601.

It is a super-2 number, since 2×10642511111430² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143588521 + ... + 143662619.

It is an arithmetic number, because the mean of its divisors is an integer number (115240320000).

Almost surely, 2^{10642511111430} is an apocalyptic number.

10642511111430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10642511111430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14750760960000).

10642511111430 is an abundant number, since it is smaller than the sum of its proper divisors (18859010808570).

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

10642511111430 is a wasteful number, since it uses less digits than its factorization.

10642511111430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74419.

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 10642511111430 in words is "ten trillion, six hundred forty-two billion, five hundred eleven million, one hundred eleven thousand, four hundred thirty".