51011404353440 has 192 divisors, whose sum is σ = 128945850814368. Its totient is φ = 19002507264000.

The previous prime is 51011404353373. The next prime is 51011404353463. The reversal of 51011404353440 is 4435340411015.

It can be written as a sum of positive squares in 16 ways, for example, as 31912511581456 + 19098892771984 = 5649116^2 + 4370228^2 .

It is a super-2 number, since 2×51011404353440² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51011404353440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 455155010 + ... + 455267070.

Almost surely, 2^{51011404353440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51011404353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64472925407184).

51011404353440 is an abundant number, since it is smaller than the sum of its proper divisors (77934446460928).

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

51011404353440 is a wasteful number, since it uses less digits than its factorization.

51011404353440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113851 (or 113843 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 51011404353440 its reverse (4435340411015), we get a palindrome (55446744764455).

The spelling of 51011404353440 in words is "fifty-one trillion, eleven billion, four hundred four million, three hundred fifty-three thousand, four hundred forty".