1051623587040 has 192 divisors, whose sum is σ = 3607516180800. Its totient is φ = 255952502784.

The previous prime is 1051623586999. The next prime is 1051623587041. The reversal of 1051623587040 is 407853261501.

It is a happy number.

It is a super-2 number, since 2×1051623587040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1051623586983 and 1051623587001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051623587041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391435 + ... + 1502154.

It is an arithmetic number, because the mean of its divisors is an integer number (18789146775).

Almost surely, 2^{1051623587040} is an apocalyptic number.

1051623587040 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 1051623587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803758090400).

1051623587040 is an abundant number, since it is smaller than the sum of its proper divisors (2555892593760).

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

1051623587040 is a wasteful number, since it uses less digits than its factorization.

1051623587040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893709 (or 1893701 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 1051623587040 in words is "one trillion, fifty-one billion, six hundred twenty-three million, five hundred eighty-seven thousand, forty".