15361142940 has 864 divisors, whose sum is σ = 61209727488. Its totient is φ = 3181939200.

The previous prime is 15361142911. The next prime is 15361142957. The reversal of 15361142940 is 4924116351.

It is a happy number.

15361142940 is a `hidden beast` number, since 1 + 5 + 361 + 1 + 4 + 294 + 0 = 666.

It is a super-2 number, since 2×15361142940² (a number of 21 digits) contains 22 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 = 15361142895 and 15361142904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 495520725 + ... + 495520755.

It is an arithmetic number, because the mean of its divisors is an integer number (70844592).

Almost surely, 2^15361142940 is an apocalyptic number.

15361142940 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 15361142940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30604863744).

15361142940 is an abundant number, since it is smaller than the sum of its proper divisors (45848584548).

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

15361142940 is a wasteful number, since it uses less digits than its factorization.

15361142940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 15361142940 in words is "fifteen billion, three hundred sixty-one million, one hundred forty-two thousand, nine hundred forty".